Practice problem
Find the derivative. f(x)=e4xf(x)=e^{\sqrt{4^x}}f(x)=e4x
f′(x)=ln4⋅4x⋅e4xf'(x)=\sqrt{\ln4}\cdot\sqrt{4^x}\cdot e^{\sqrt{4^x}}f′(x)=ln4⋅4x⋅e4x
f′(x)=2ln2⋅2x⋅e2xf'(x)=2\ln2\cdot2^x\cdot e^{2^x}f′(x)=2ln2⋅2x⋅e2x
f′(x)=12xln4⋅4x⋅e4xf'(x)=\frac1{2\sqrt x}\ln4\cdot\sqrt{4^x}\cdot e^{\sqrt{4^x}}f′(x)=2x1ln4⋅4x⋅e4x
f′(x)=12ln4⋅4x⋅e4xf'(x)=\frac12\ln4\cdot\sqrt{4^x}\cdot e^{\sqrt{4^x}}f′(x)=21ln4⋅4x⋅e4x
Type a concept, like “slope” or “photosynthesis”.
