Question

Calculate the derivatives of the following real functions by using the chain rule; maybe several times. In each case, determine the inner and outer function to be used, together with their respective areas of definition.

c) \(h(x) = f(x+a)\) for constant \(a, f: \mathbb{R}\rightarrow \mathbb{R} \)

Answer 1

ok...

Answer 2

is there a definition for f?

Answer 3

http://openstudy.com/study#/updates/4fe3cba9e4b06e92b8728899

Answer 4

thats all dpalnc, no extra definition here but maybe in our lecture prof has made some definition but i was not in lecture

Answer 5

hmm... if there is no definition for f, then all you can do here is the generic chain rule...
\[\huge h'(x)=f'(x+a)\cdot[x+a]'=f'(x+a) \]

Answer 6

ok i think chain rule is good, thanks

Answer 7

yw...:)

Answer 8

how is that equal to f`(x+a)?

Answer 9

you ask to @dpalnc right?

Answer 10

yeah