How can I find the point of a function where the steepness is exactly 45 degrees?
In my specific case, the function is $\dfrac{-1}{\exp(x)}$.
How can I find the point of a function where the steepness is exactly 45 degrees?
In my specific case, the function is $\dfrac{-1}{\exp(x)}$.
Here is a hint:
Let's say our function is $f(x)$. Can you think of what the value of f'(x), the derivative of $f$, is at a point $x$ where "the steepness is exactly 45 degrees"? Drawing a picture might help.
Do you know how to find the derivative of $f(x)=-\dfrac{1}{e^x}$?