Question #62094

1 Answer
Mar 2, 2016

Answer:

#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#