Question

d/dx (f(2x^2)) = 7x^4 Find f'(x)

Answer 1

\[\frac{ d }{ dx } f(2x^2))=7x^4\]

Answer 2

Hmmmmmmmmmmmmm...

Answer 3

This is alongs the lines that I'm thinking...\[\Large f'(2x^2)\quad=\quad 7x^4\quad=\quad C(2x^2)^2\]

Answer 4

Wait thats the wrong problem.......

Answer 5

oh lol

Answer 6

Ill post new 1
its just a few numbers changed

Answer 7

\[d/dx (f(2x^4))=7x^3\]

Answer 8

first step i got was \[f'(2x^4)=7x^3\]

Answer 9

f' (2x^4)*8x^3 = 7x^3

Answer 10

\[f'(2x^4)=\frac{ 7 }{ 8 }\]

Answer 11

Im there....
i need to find f'(x)

Answer 12

So you chain ruled on the left? Hmm looks like you're on the right track!

Answer 13

So you determined that the derivative function is `constant`.
So regardless of what value you plug into the function, 2x^4, x, a bajillion, it will always come back as 7/8.

\[\Large f'(2x^4)\quad=\quad\frac{7}{8}\]\[\Large f'(200x^9)\quad=\quad\frac{7}{8}\]\[\Large f'(x)\quad=\quad?\]

Answer 14

still 7/8

Answer 15

yessss.. i think that's what we're looking for at least +_+

Answer 16

O.O that was so easy

Answer 17

can you help me with this word problem?

Answer 18

i can try :u

Answer 19

A spherical balloon is inflated so that its volume is increasing at the rate of 2.7 ft^3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.8 feet?

Answer 20

The diameter is increasing at____ft/min