Derivatives of Trigonometric Functions

$\begin{aligned} \sin^\prime(x)&=\cos(x)\\ \cos^\prime(x)&=-\sin(x)\\ \tan^\prime(x)&=\sec^2(x)\\ \cot^\prime(x)&=-\cosec^2(x)\\ \sec^\prime(x)&=\sec(x)\tan(x)\\ \cosec^\prime(x)&=-\cosec(x)\cot(x)\\ \arcsin^\prime(x)&=\frac{1}{\sqrt{1-x^2}}\\ \arccos^\prime(x)&=-\frac{1}{\sqrt{1-x^2}}\\ \arctan^\prime(x)&=\frac{1}{1+x^2}\\ \operatorname{arccot}^\prime(x)&=-\frac{1}{1+x^2}\\ \operatorname{arcsec}^\prime(x)&=\frac{1}{x\sqrt{x^2-1}}\\ \operatorname{arccosec}^\prime(x)&=-\frac{1}{x\sqrt{x^2-1}}\\ \end{aligned}$

#Calculus

Easy Math Editor

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Comments

How do you center-align the equations?

Adhiraj Dutta - 1 year, 5 months ago

use \begin{aligned} a&=b \ \ c&=d \end{aligned}

Gandoff Tan - 1 year, 5 months ago

or \ [ and \ ]

A Former Brilliant Member - 1 year ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$