Calculus
# Higher-order Derivatives

For the function $f(x)=e^x(7\sin x+3\cos x),$ what is the third derivative $f'''(x)$?

What is the $19 ^{th}$ derivative of $\displaystyle \frac{1}{3}e^{3x}?$

What is the third derivative of the function $y=8\sin x$ with respect to $x$?

If $f(x)=e^{5x},$ what is the value of $f'''(0)?$