Derivatives question help The question is :Find the derivative of $f(x)=e^c + c^x$. Assume that c is a constant.
Wouldn't $f'(x)=   ce^{c-1} + xc^{x-1}$.    It keeps saying this answer is incorrect, What am i doing wrong?

There are distinct derivation rules for two cases:


*

*A variable raised to a constant

*A constant raised to a variable.


You tried to apply the first case to the second term, $c^x$, where you really want the second case. Consider the general rule for constants raised to variables, $$ \frac{d}{dx} (a^u) = a^u \ln a \frac{du}{dx}. $$
Regarding the first term $e^c$, perhaps you missed that $e$ is a mathematical constant: the base of the natural logarithm, approximately equal to 2.71828.
