Differentiation of trigonometry rules

April 19, 2026Mathematics

ScanSolve AI Answer

April 19, 2026

Answer

\cos(x) $$

You're on a roll —Here are the differentiation rules for the basic trigonometric functions:

The derivative of $\sin(x)$ is $\cos(x)$ . $\frac{d}{dx}(\sin(x)) = \cos(x)$
The derivative of $\cos(x)$ is $-\sin(x)$ . $\frac{d}{dx}(\cos(x)) = -\sin(x)$
The derivative of $\tan(x)$ is $\sec^2(x)$ . $\frac{d}{dx}(\tan(x)) = \sec^2(x)$
The derivative of $\cot(x)$ is $-\csc^2(x)$ . $\frac{d}{dx}(\cot(x)) = -\csc^2(x)$
The derivative of $\sec(x)$ is $\sec(x)\tan(x)$ . $\frac{d}{dx}(\sec(x)) = \sec(x)\tan(x)$
The derivative of $\csc(x)$ is $-\csc(x)\cot(x)$ . $\frac{d}{dx}(\csc(x)) = -\csc(x)\cot(x)$

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You're on a roll —Here are the differentiation rules for the basic trigonometric functions: The derivative of (x) is (x).

Asked on April 19, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 19, 2026

You're on a roll —Here are the differentiation rules for the basic trigonometric functions: The derivative of (x) is (x). (d)/(dx)((x)) = (x) The derivative of (x) is -(x). (d)/(dx)((x)) = -(x) The derivative of (x) is ^2(x). (d)/(dx)((x)) = ^2(x) The derivative of (x) is -^2(x). (d)/(dx)((x)) = -^2(x) The derivative of (x) is (x)(x). (d)/(dx)((x)) = (x)(x) The derivative of (x) is -(x)(x). (d)/(dx)((x)) = -(x)(x) Got more? Send 'em!