Question

If f(x)=2x+sinx and the function g is the inverse of f, then g'(2)=

Answer 1

whatever you did to obtain the function you have now, from g(x)=x
do the exact opposite for the inverse I think.

if you added, this time subtract ... like that, sorry I'm bad at explaining.

Answer 2

sub y for x and solve for y to find the inverse. however, that'll be tough in this case

Answer 3

Can you guys just show me how to get the function g? I can find the derivative on my own.

Answer 4

I can do the entire thing on my calc

Answer 5

The only thing is, I can get the inverse of f on my graphing calc, but it won't state what the explicit equation of the f inverse is.

Answer 6

Just tell me how to solve the problem.

Answer 7

@dumbcow

Answer 8

@amistre64 @thomaster @.Sam.

Answer 9

Never mind, I got it.

Answer 10

you cant explicitly get the inverse of this function

you can use this
\[g'(y) = \frac{1}{f'(x)}\]
where g is inverse of f

then you have to approximate what "x" is when y=2

Answer 11

Thanks.