Calculus Examples

$e^{x} \cos (y)$

Step 1

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

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

Step 2

The derivative of $\cos (y)$ with respect to $y$ is $- \sin (y)$ .

$e^{x} (- \sin (y))$

Step 3

Reorder the factors of $e^{x} (- \sin (y))$ .

$- e^{x} \sin (y)$