How to differentiate this function to find f'(7)?
Suppose that f(x) is a differentiable function such that f(7+h)=2/(h+1) and that f(7)=2. Then f'(7) = ???
The answer is -2, I'm just not sure how to reach it.
Suppose that f(x) is a differentiable function such that f(7+h)=2/(h+1) and that f(7)=2. Then f'(7) = ???
The answer is -2, I'm just not sure how to reach it.
1 Answer
May 16, 2018
See below
Explanation:
We use the definition of the derivative
For the given function, we have
Alternative
You could also simply recognize that the function is simply
so that
I guess from the way the problem is worded, though, that a calculation using the definition of the derivative is really being sought here.