Question

F(g(x))=x^4 and G'(1)=2 find F'(g(1))

F(g(x))=x^4 and G'(1)=2 find F'(g(1))

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Answer: 2

Solution:

Step 1. Chain Rule.

Step 2. Find derivative of F(G(x)) = x4

. Using

Step 3. Put x=1.

Step 4. Put the values in chain rule.

[F(G(1))]' = F'(G(1)).G'(1)

4 = F'(G(1)). 2

F'(G(1))= 4/2 = 2

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
f(x) = (5)/(sqrt(4-x)), g(x)=x+4 1. find domain of f 2. domain of g 3. (f∘g)(x) 4....
f(x) = (5)/(sqrt(4-x)), g(x)=x+4 1. find domain of f 2. domain of g 3. (f∘g)(x) 4. domain (f∘g)
If f(2) = 3, f'(2) = 5, g(2) = 1, and g'(2) = 4, find h'(x)...
If f(2) = 3, f'(2) = 5, g(2) = 1, and g'(2) = 4, find h'(x) and r'(x) if h(x) = 2(f(x))3/2 and r(x) = g(x) + p g(x), and determine the greater value between h'(2) and r'(2).
1)If f(x)=2x-2 and g(x)=3x+9, find the following. a) f(g(x))=? b) g(f(x))=? c) f(f(x))=? 2)Let f(x)=x^2 and...
1)If f(x)=2x-2 and g(x)=3x+9, find the following. a) f(g(x))=? b) g(f(x))=? c) f(f(x))=? 2)Let f(x)=x^2 and g(x)=6x-16. Find the following: a) f(3)+g(3)=? b) f(3)*g(3)=? c) f(g(3))=? d) g(f(3))=? 3) For g(x)=x^2+3x+4, find and simplify g(3+h)-g(3)=? Please break down in detail. Please and Thank you
Let f(x)=3x4+8 and g(x)=x+4. (f∘g)(x)= Let f(x)=9x+9 and g(x)=5−7x2. (f∘g)(−2)=(f∘g)(−2)= Let h(x)=(f∘g)(x)=1/(x+8)^3. Find f(x) given g(x)=x+8....
Let f(x)=3x4+8 and g(x)=x+4. (f∘g)(x)= Let f(x)=9x+9 and g(x)=5−7x2. (f∘g)(−2)=(f∘g)(−2)= Let h(x)=(f∘g)(x)=1/(x+8)^3. Find f(x) given g(x)=x+8. f(x)=
Find f o g and g o f f(x)= 8/(x^2-1) , g(x) = x^3 +1 also...
Find f o g and g o f f(x)= 8/(x^2-1) , g(x) = x^3 +1 also find domain of f, g, f o g , and g o f
Given F(2) = 1, F'(2) = 7, F(4) = 3, F′(4) = 7 and G (4)...
Given F(2) = 1, F'(2) = 7, F(4) = 3, F′(4) = 7 and G (4) = 2 , G′(4)= 6, G(3)= 4, G′(3)=11, find the following. (a) H(4) if H(x) = F(G(x)) H(4) = (b) H′(4) if H(x) = F(G(x)) H′(4) = (c) H(4) if H(x) = G(F(x)) H(4) = (d) H′(4) if H(x) = G(F(x)) H'(4)=
Q 1) Consider the following functions. f(x) = 2/x,  g(x) = 3x + 12 Find (f ∘...
Q 1) Consider the following functions. f(x) = 2/x,  g(x) = 3x + 12 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x).  (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x).  (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notation.) Q...
Find the domain of f(g(x)). f(x)= 5/x-1 g(x)=4/3x-2 If anyone can solve this and explain the...
Find the domain of f(g(x)). f(x)= 5/x-1 g(x)=4/3x-2 If anyone can solve this and explain the steps I would greatly appreciate it. I found an answer but I want to check if I did it correctly.
Suppose that f(2) = −4, g(2) = 2, f '(2) = −5, and g'(2) = 1....
Suppose that f(2) = −4, g(2) = 2, f '(2) = −5, and g'(2) = 1. Find h'(2). a. h(x)=2f(x)-5g(x) h'(2)=? b. h(x)=f(x)g(x) h'(2)=? c. h(x)=f(x)/g(x) h'(2)=? d. h(x)=g(x)/1+f(x) h'(2)=?
Suppose that f(2) = −3, g(2) = 4, f '(2) = −1, and g'(2) = 5....
Suppose that f(2) = −3, g(2) = 4, f '(2) = −1, and g'(2) = 5. Find h'(2). (a) h(x) = 3f(x) − 5g(x) h'(2) h(x) = f(x)g(x) h'(2) = h(x) = f(x) g(x) h'(2) =(d) h(x) = g(x) 1 + f(x) h'(2) =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT