Question Type 5: Applying both chain rule and product rule together on composite functions Bootcamps

Differentiate $f(x)=(x^2+1)e^{x^2}$

Differentiate $f(x)=e^x\,(x^2+1)^5$

Differentiate $f(x)=x^3\ln(e^{2x}+3)$

Differentiate $f(x)=x\sqrt{e^{2x}+1}$

Differentiate $f(x)=x\,e^{\sin(x^3)}$

Differentiate $f(x)=\sin(e^x+x^2)\;\ln(x^2+1)$

Differentiate $f(x)=e^{\sin x}\ln x$

Differentiate $f(x)=\tan(e^{3x})\,x$

Differentiate $f(x)=\cos(3x^2)\,\sqrt{x^2+4}$

Differentiate $f(x)=\ln(\sin(x^2))\,x^4$

Differentiate $f(x)=(e^{x^2}+1)(x^3+\sin x)$

Differentiate $f(x)=x^2\sin(e^{2x}+x)$