## derivative of secx

### secxtanx

The derivative of secx can be found using the following steps:

1. Rewrite secx in terms of sine and cosine: secx = 1/cosx

2. Apply the quotient rule for differentiation:

d/dx (1/cosx) = (-1/cos^2x) * (-sinx)

3. Simplify the expression:

d/dx (1/cosx) = sinx/cos^2x

4. Use the identity cos^2x = 1 – sin^2x to obtain an alternative expression:

d/dx (1/cosx) = sinx/(1-sin^2x)

Therefore, the derivative of secx is sinx/cos^2x = secx * tanx.

##### More Answers:

Mastering The Derivative Of Inverse Tangent Function (Tan⁻¹) In Math: Formula And ApplicationsHow To Calculate The Derivative Of The Arcsine Function Using The Formula

How To Find The Derivative Of Cot(X) Using The Quotient Rule Of Differentiation

Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded