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Derivative


Definition

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time is advanced.

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Problems Solved

$y'$
$\frac{dy}{dx}\left(x^3e^{3x}sin\left(x\right)\right)$
$\frac{d}{dx}ln\left(x^{8cos\left(x\right)}\right)$
$\frac{d}{dx}\left(\frac{d}{du}\left(y\left(x\right)\right)\right)$
$\frac{d}{dx}\left(7\sin\:\left(6x\right)\right)$
$\frac{d}{dx}\left(4\cos\left(\frac{1}{2}x\right)\right)$
$\frac{d}{dx}\left(4\tan\left(3x\right)\right)$
$\frac{d}{dx}\frac{1}{3}\cot\left(12x\right)$

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Related Topics

Advanced differentiation
Basic Differentiation Rules

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