Question

calculate g'(x) where g(x) is the inverse of f(x)
f(x)=x^(-4)

Answer 1

my answer was (-x^(-5/5))/4 but it was wrong

Answer 2

(-1/4)y^(-5/4)
if x is not equal to 0

Answer 3

replace y by x in my answer

Answer 4

ok what?? I followed the books example and that is what I got.

Answer 5

dont know how you got that answer!!!

Answer 6

you said your answer is wrong :)

Answer 7

an inverse means you can undo the process

Answer 8

I followed the steps in cramster and thats what I got.

Answer 9

oh, you used cramster, thats different

Answer 10

i got no idea what they step it as

Answer 11

well its wrong regardless so can you show me step by step please?

Answer 12

calculate g'(x) where g(x) is the inverse of f(x)

f(x)=x^(-4)

[f(x)]^(-1) = x^4


4rt [f(x)]^(-1) = x

Answer 13

simply undo the function by solving for "x"

Answer 14

y = 3x , whats our inverse?

y/3 = x

Answer 15

y = x^(-4)

(y = x^(-4) )^(-1/4)

y^(-1/4) = x

Answer 16

just assume y=f(x)
then solve the equation for x=g(y)
then interchange y and x, i.e., y=g(x)
g(x) is the inverse

Answer 17

?

Answer 18

solve for x ...

Answer 19

then derive

Answer 20

Inverse of f(x)=x^(-4) is g(x)= +/- x^(-1/4) on x>0.
Derivative is g'(x) = +/- (1/4)x^(-5/4) on x>0.