Question

Question #62094

Answer 1

`d/dx(sec^2x)=2sec^2xtanx`

Explanation:

The derivative of `secx` is `secxtanx`.

`[1]" "d/dx(sec^2x)`

`[2]" "=d/dx[(secx)^2]`

Use power rule. We also have to use chain rule.

`[3]" "=2(secx)^1*d/dx(secx)`

Derivative of `secx` is `secxtanx`.

`[4]" "=2(secx)*(secxtanx)`

`[5]" "=2sec^2xtanx`