Question Type 1: Calculating second derivatives of functions Exercises

Find the second derivative $f''(x)$ if $f(x)=x^4$.

Find the second derivative $f''(x)$ for $f(x)= abla(x)=\ln(x)$.

Find the second derivative $f''(x)$ for $f(x)=3e^{2x}$.

Find the second derivative $f''(x)$ for $f(x)=\ln(x^2+1)$.

Find the second derivative $f''(x)$ for $f(x)=\frac{\sin x}{x}$.

Find the second derivative $f''(x)$ for $f(x)=x^2e^x$.

Find the second derivative $f''(x)$ for $f(x)=e^{-x}\cos x$.

Find the second derivative $f''(x)$ for $f(x)=\sin(\ln x)$.

Find the second derivative $f''(x)$ for $f(x)=\ln(\sin x)$.

Find the second derivative $f''(x)$ for $f(x)=\tan^{-1}(x^2)$.

Find the second derivative $f''(x)$ for $f(x)=\sin\bigl(\ln(x^2+1)\bigr)$.

Find the second derivative $f''(x)$ for