$\frac{d}{dx}\left(\frac{3}{x^2}\right)$
$\int_1^2x\ln\left(x\right)dx$
$\int_1^{\infty}\left(\frac{ln\:x}{x^2}\right)dx$
$\int_0^1xlnxdx$
$\int_0^1x\ln\left(x\right)dx$
$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$
$\frac{d}{dx}\left(\frac{5}{x}\right)$
The quotient rule is a formal rule for differentiating problems where one function is divided by another.
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