Calculus Examples

$D_{θ} ({(\sec (θ) + \tan (θ))}^{- 2})$

Step 1

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

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{d}{d D} [D_{θ} \frac{1}{{(\sec (θ) + \tan (θ))}^{2}}]$

Step 3

Combine $D_{θ}$ and $\frac{1}{{(\sec (θ) + \tan (θ))}^{2}}$ .

$\frac{d}{d D} [\frac{D_{θ}}{{(\sec (θ) + \tan (θ))}^{2}}]$

Step 4

Since $\frac{D_{θ}}{{(\sec (θ) + \tan (θ))}^{2}}$ is constant with respect to $D$ , the derivative of $\frac{D_{θ}}{{(\sec (θ) + \tan (θ))}^{2}}$ with respect to $D$ is $0$ .

$0$