Third and Higher Order Derivatives Practice Problems Online

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

e^x(-8\sin x+20\cos x)

e^x(20\sin x-8\cos x)

e^x(-20\sin x+8\cos x)

e^x(8\sin x-20\cos x)

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

If $f(x)=2x^4-15x^3+15x-17,$ what is the value of $\displaystyle \lim_{x \to 1} \frac{f''(x)+66}{x-1}?$

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 $f'''(0)?$

Third and Higher Order Derivatives