Question Type 1: Finding the derivatives of more complex functions that involve trigonometric, exponential functions Bootcamps

Differentiate $w(x)=\tfrac{1}{x^2}+4\ln x+6\sin x$.

Differentiate $u(x)=x^{5}+2x^{-1}+3e^x-4\cos x+\ln x$.

Differentiate $f(x) = \frac{4}{9}x^{-3} + 3\ln x - \sin x$ with respect to $x$.

Find $g'(x)$ for $g(x) = 5e^x - 7\cos x + x^{\frac12}$.

Differentiate $s(x)=4e^x+5\sin x+3x^{\frac74}$.

Differentiate $v(x)=x^{\frac13}-3\tan x+7\ln x-e^x$.

Differentiate $h(x)=2x^{-1}+4x^{\frac32}+\ln x$.

Differentiate $t(x)=-8\ln x+2\cot x-5x^{-2}$.

Differentiate $p(x)=3\tan x - x^{-5} + 6\ln x$.

Given $f(x)=2\ln x+3e^x-4\sin x+x^{-\frac12}$, compute $f'(1)$.

Differentiate $r(x)=7\ln x-9\sec x+x^{-\frac13}$.

Differentiate $q(x)=x^{\frac23}+4\csc x+2e^x$.