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Basic Differentiation Rules


Definition

Some differentiation rules are very easy to remember and use. These are the basic ones: constant rule, sum rule, product rule and quotient rule.

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Problems Solved

Find the derivative $\frac{d}{dx}\left(\frac{\sqrt{x}}{e^x}\right)$
Find the derivative $\frac{d}{dx}\left(\left(x^3-11x\right)^{\ln\left(x\right)}\right)$
Find the derivative $\frac{d}{dx}\left(\left(sin\left(3x\right)\right)^{3x}\right)$
Find the derivative $\frac{d}{dx}\left(x^2+y^2=9\right)$
Find the derivative $\frac{d}{dx}\left(\:arcsin\:\left(t^8\right)\right)$
Find the derivative $\frac{d}{dx}\left(\ln\left(y\right)=e^y\sin\left(x\right)\right)$
$\frac{d}{dx}\left(x^2+3x\right)^3$
Find the derivative $\frac{d}{dx}\left(xy^2=5\right)$

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Related Topics

Power Rule for Derivatives
Product Rule of differentiation
Quotient Rule of Differentiation
Chain rule of differentiation
Advanced differentiation
Constant Rule for Differentiation
Sum Rule of Differentiation

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