Question

How do you find the derivative of `secx tanx`?

Answer 1

Use the product rule and derivatives of trigonometric functions.

Explanation:

`d/dx(secx tanx) = d/dx(secx) tanx + secx d/dx(tanx)`

`= (secxtanx)tanx+secx(sec^2x)`

`= sec tan^2x + sec^3x`

`= secx(tan^2x+sec^2x)`