Differentiable Function Help

[mglmosaic]

This question was on an assignment but I have never seen of it before. I'm pretty sure it has to do with the limit definition of a derivative but I'm not really sure how to even start this. Any help would be appreciated.


Given that f(x) is a differentiable function and that f ' (4)=3, find the value for d/dx f(sqrt(x)) when x=4.

Thanks

 

[Deleted member 4993]

This question was on an assignment but I have never seen of it before. I'm pretty sure it has to do with the limit definition of a derivative but I'm not really sure how to even start this. Any help would be appreciated.


Given that f(x) is a differentiable function and that f ' (4)=3, find the value for d/dx f(sqrt(x)) when x=4.

Thanks

Hint:

use chain-rule to find expression for d/dx f(?x)

Please show us your work, indicating exactly where you are stuck - so that we may know where to begin to help you.