What is the derivative of the function $f\left(x\right)=e^{4x}$ with respect to $x$?

What is the derivative of the function $f\left(x\right)=2e^x$ with respect to $x$?

Given the function $f\left(x\right)=e^x\cosh \left(x\right)$, which of the following is the correct expression for $f^{\prime }\left(x\right)$?

Differentiate the function $v=x+13x^2$ with respect to $x$. Which of the following is the correct derivative $v^{\prime }$?

What is the derivative of the function $f\left(x\right)=e^{3x}$ with respect to $x$?

Find the derivative of the function: $y=e^{tan\left(x\right)}$.

If $f\left(x\right)={(2x^2+5)}^7$, then which of the following is $f^{\prime }\left(x\right)$?

Given the function $g\left(x\right)={\sinh \left(x\right)}^2$, find its derivative $g\text{'}\left(x\right)$.

Suppose the figure above shows the graph of $f^{\prime }$, the derivative of a function $f$. At which of the following $x$-values does $f$ have a local maximum?