Calculus Examples

$y \sin (2 x) = x \cos (2 y)$

This derivative could not be completed using the chain rule. Mathway will use another method.

Since $\cos (2 y)$ is constant with respect to $x$ , the derivative of $x \cos (2 y)$ with respect to $x$ is $\cos (2 y) \frac{d}{d x} [x]$ .

$\cos (2 y) \frac{d}{d x} [x]$

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 1$ .

$\cos (2 y) \cdot 1$

Multiply $\cos (2 y)$ by $1$ .

$\cos (2 y)$