Question #62094

1 Answer
Mar 2, 2016

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