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
hshsvsjsn svshsismsnsbs
Answers
Answer:
C. 5.44
Step-by-step explanation:
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
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
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
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.
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
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
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.
i need help pls..........
Answers
Answer:
a 14.3
Step-by-step explanation:
23 divided by 4 is 14.3
But I really need help to pass
Answers
Answer:
the cane
Step-by-step explanation:
what is the exact value of cos5pie/12
Answers
Answer:
Exact Form: −e12
Decimal Form: −0.22652348…
Step-by-step explanation:
When a rectangle is rotated about one side forms which solid?
A. Rectangular pyramid
B. Cylinder
C. Sphere
D. Rectangular prism
Answers
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)
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
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°.
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. :)
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
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.
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
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
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
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
Help me out please?
Answers
Answer:
perpendicualr
Step-by-step explanation:
Perpendicular
Explanation:
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.
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°
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! :)
Solve for x
I need help fast
Answers
Answer:
4x-1=1/2(10x-20)
8x-2=10x-20
-2x=-18
X=9
Urgent: Find value of X
Answers
Answer:
x=44 degrees
Step-by-step explanation:
A line = 180 degrees
Given degrees: 136
180-136= 44