Hello
Can you help me to do these two exercises please I block on those please it is on the derivatives of a number
Thank you so much in advance!!!
Answers
Answer:
First rememeber that if we have a function like:
g(x) = x^n
then:
dg(x)/dx = g'(x) = n*x^(n - 1)
And also if we have:
g(x) = f(x) + h(x)
then:
dg(x)/dx = g'(x) = f'(x) + h'(x)
1) We have the function f(x) = (x + 1)^2
We can rewrite this as:
f(x) = x^2 + 2*x + 1
Using both things written above, we know that:
f'(x) = 2*x + 1*2 = 2*x + 2
And we want to find f'(-2), so we only need to evaluate the above function in x = -2, this is:
f'(-2) = 2*-2 + 2 = -4 + 2 = -2
f'(-2) = -2
b) I suppose that this refers to the inverse function of f(x)
An inverse function is such that:
g( f(x)) = x
f( g(x)) = x
For f(x) = (x + 1)^2
The inverse will be something that first cancels that square, and then subtracts 1.
Then:
g(x) = √x - 1
if we evaluate this in f(x) we get:
g( f(x)) = √(f(x)) - 1 = √(x + 1)^2 - 1 = (x + 1) - 1 = x
Then the inverse function of f(x) is:
g(x) = √x - 1
This can also be written as:
g(x) = x^(1/2) - 1
Then the derivative of this will be:
g'(x) = (1/2)*x^(1/2 - 1) = (1/2)*x^(-1/2) = (1/2)*(1/√x)
Related Questions
what is the exact value of cos5pie/12
Answers
Answer:
Exact Form: −e12
Decimal Form: −0.22652348…
Step-by-step explanation:
Urgent: Find value of X
Answers
Answer:
x=44 degrees
Step-by-step explanation:
A line = 180 degrees
Given degrees: 136
180-136= 44
Help me out please?
Answers
Answer:
perpendicualr
Step-by-step explanation:
Perpendicular
Explanation:
4. Find the measure of arc WXY.
Answers
Answer:
200
Step-by-step explanation:this problem is actually very simple. a circle and a max measure of 360 so all you do is subtract 160 from 360 and there you go. :)
hshsvsjsn svshsismsnsbs
Answers
Answer:
C. 5.44
Step-by-step explanation:
But I really need help to pass
Answers
Answer:
the cane
Step-by-step explanation:
Alright fam, help me out here with these angles thanks!
Answers
Answer:
m∠3 = 127°
Step-by-step explanation:
From the given picture,
Two parallel lines have been given.
Angle 3 and another angle measuring 53° are located on a point of a straight line.
Therefore, both the angles will be supplementary.
m(∠3) + 53° = 180° [Property of supplementary angles]
m(∠3) = 180° - 53°
= 127°
Paper clips are sold in boxes of 1000.
Each box costs £15.40
The table below shows the discount offered for large orders.
Ethan orders 5 boxes of paper clips.
Work out the amount of discount Ethan gets.
Answers
Answer:
6.5%
Step-by-step explanation:
1000 in a box and he orders 5 boxes.
1000x5= 5000
So he orders 5000 paper clips
1 box is £15.40 and he order 5, so £15.40x5= £77
£77 is between £55 and £79.99 so he will get 6.5% discount.
After the discount he will pay £71.99
I -9I = ____
HELP HELP ME ME ASAP PLEASE
Answers
Answer:
9
Step-by-step explanation:
l l means absolute value
the absolute value of any negative number is the same number but positive
so the absolute value of -9 is positive 9
Answer:
9
Step-by-step explanation:
Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9
What Is The Measure Of X?
Answers
Answer:
114°
Step-by-step explanation:
here's your solution
=> x° + 66° = 180°
=> x = 180° - 66°
=> x = 114°
hope it helps
Answer:
66°+x=180°[by linear pair]
x=180°- 66°
x=114°.
1/2x - 7 = 1/3 (x- 12)
Answers
Answer:
x = 18
Step-by-step explanation:
1/2x - 7 = 1/3 (x- 12)
Multiply both sides by 3
3 * 1/2x - 3 * 7 = 3 * 1/3 (x - 12)
3/2x - 21 = x - 12
Collect like terms
3/2x - x = 21 - 12
1/2x = 9
Multiply both sides by 2
x = 2 * 9
x = 18
Answer:
x = 18
hope this helps! :)
What percent of 54 is 28?
Answers
Answer:
51.85
Step-by-step explanation:
hope this helps lol
51.85
Percentage Calculator: 28 is what percent of 54? = 51.85.
Tentukan nilai limit x->3 x2-9/x-3
Answers
Answer:
6
Step-by-step explanation:
Factor the numerator, difference of squares
[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )
= x + 3
limit as x → 3 = 3 + 3 = 6
A 2025633
1)(a)(a)
3(3)(5)(5)(a(a)
Which expressions listed on the left are equivalen
36a8? Check all that apply. (Assume that a 7 0.
22502
B
466
25
D A
13
C.
25
B.
DES
В С
E
3 D
Е Е
Answers
Answer:
if I'm not mistaken I think your answer will be B
The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.
What is Square Root?Square root of a number is the value such that the value when multiplied to itself two times gives the original number.
It is denoted by the symbol √.
Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].
There are five expressions in the left.
A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]
Here we have to multiply the terms in the numerator as well as in the denominator.
2(2)(3)(3) = 36 and 3(3)(5)(5) = 225
So this expression is equivalent to the given [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].
B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]
We know that, greatest common factor of 36 and 225 is 9.
36/9 = 4 and 225 / 9 = 25
Also a⁸ / a² = a⁸⁻² = a⁶
So this is also an equivalent expression.
C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]
This is not equivalent since √225 = 15, not 25.
D. [tex]\frac{6}{15} a^4[/tex]
This is also not equivalent since [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.
E. [tex]\frac{2}{5} a^3[/tex]
This is equivalent expression since √36 = 6 and √225 = 15.
[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]
Hence the equivalent expressions are A, B and E.
Learn more about Expressions here :
https://brainly.com/question/28170201
#SPJ7
Your question is confusing. The image of the question is attached below.
Find the triangles area drawing not to scale.
Answers
Answer:
35 lol
Step-by-step explanation:
a = b*h/2
a = 10*7/2
a = 70/2
a = 35 lol
10) The volume of a rectangular prism is 48 cm3. What is the volume when
the height is changed by a scale factor of 1/2 ?
Answers
Answer:
plz tapusin nyo na namn a ahh tawa kay
Solve for x
I need help fast
Answers
Answer:
4x-1=1/2(10x-20)
8x-2=10x-20
-2x=-18
X=9
How many solutions does the system of equations have?
x = -3y + 4 6y + 2x = 8
Answers
Answer:
The equation x = -3y + 4 6y + 2x = 8 has infinite number of solutions.
what is polynomail area
Answers
Answer:
2x²-8 if it doesnt give you x= if it gives you an x= then comment it and ill work it out.
Step-by-step explanation:
it was pretty simple
Look at picture, Throw a ball in the air and create a function models to show the trajectory the variable x represents time in seconds after the ball was thrown
Answers
Answer:
Mark's Ball is thrown from a greater height off the ground. Roberto's ball reaches a greater maximum height.
Step-by-step explanation:
I took the test.
I need help!I’ve been struggling on this worksheet for so long!
Answers
Answer:
I think that the answers to this question are B , C .
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answers
Answer:
a is equal to 0
Answer: A is equal to 0
Anything’s you time by 0 you get 0 remember that
Step-by-step explanation:
0 and 0.1*0=0 and 0.01*0=0 so 0=0
If x^3+y^3−12xy+64=0, what is the value of x+y?
Answers
Answer:
I don't know
Step-by-step explanation:
I don't really know but if you want help with math questions try this website called wolfram alpha. It's great
can someone please help me with this? (i will mark brainliest) (LMNP is rotated 180 degrees clockwise around the origin. what are the coordinates of L?)
Answers
Answer:
L's coordinates would go from being (x,y) to (-x, -y)
Step-by-step explanation:
So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)
If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L
Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)
A certain pipe can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long does it take to fill the pool when both pipes are used at the same time?
Answers
Answer:
1 1/3 hours
Step-by-step explanation:
Pipe 1 alone:
fills the pool in 2 hours
in 1 hour, it fills 1/2 of the pool
Pipe 2 alone:
fills the pool in 4 hours
in 1 hour, it fills 1/4 of the pool
Pipe 1 and Pipe 2 working together:
fill the pool in x hours
in 1 hour, they fill 1/x of the pool
Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.
Working together, in 1 hour the two pipes fill 1/x of the pool.
Therefore,
1/2 + 1/4 = 1/x
2/4 + 1/4 = 1/x
3/4 = 1/x
x = 4/3
x = 1 1/3
Answer: 1 1/3 hours
Arectangle has a width that is 8 centimeters less than its length. The perimeter of the rectangle is 56 centimeters. Find both the width and length of the rectangle. Show your work.
Answers
Answer:
L=18cm
W=10cm
Step-by-step explanation:
Given data
let the length be x
L=x
Width= x-8
W= x-8
Perimeter= 56cm
But we know that the perimeter is expressed as
P=2L+2W
substitute our data
56=2(x)+2(x-8)
56=2x+2x-16
56+16=4x
72=4x
divide both sides by 4
x= 72/4
x=18cm
Hence the Length is 18cm
L=18cm
The width= 18-8
W=10cm
i need help pls..........
Answers
Answer:
a 14.3
Step-by-step explanation:
23 divided by 4 is 14.3
When a rectangle is rotated about one side forms which solid?
A. Rectangular pyramid
B. Cylinder
C. Sphere
D. Rectangular prism
Answers
What is the best first step to solve the following quadratic equation?
16x2 + 38 = -40x
A
Add 40x to both sides.
B
Factor the right side.
C
Take the square root of both sides.
D
Multiply 16 by 38 and list the factors.
Answers
Answer:
a
Step-by-step explanation:
A which is add 40x to both sides wich is A
which graph shows the solution to the system of equations?y =-2x+1 and y =-3/2
Answers
Answer:
(1.25, -1.5)
Step-by-step explanation:
The system of equations:
y = -2x + 1
y = -3/2
So we know that the two lines meet at the point where y = -3/2 = -1.5
∴ -1.5 = - 2x + 1
2x = 1 + 1.5 = 2.5
x = 2.5 ÷ 2 = 1.25
So the solution to this system of equation (or where the two lines meet) is the point (1.25, -1.5)