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What is the derivative of # f(x) = 3x sec^2 x#?

1 Answer

Dec 5, 2017

#3sec^2x(1+2xtanx)#

Explanation:

we need the product rule here

#d/(dx)(uv)=v(du)/(dx)+u(dv)/(dx)#

#d/(dx)(3xsec^2x)=sec^2xd/(dx)(3x)+3xd/(dx)(sec^2x)#

#=(sec^2x) xx3+3x xx2secxtancsecx#

#=3sec^2x+6xsec^2xtanx#

#=3sec^2x(1+2xtanx)#

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