Derivative?
Find the derivative of \5xtan^2\(3x)
Find the derivative of
1 Answer
Jun 27, 2017
Use the product rule and the chain rule.
Explanation:
= 2tan(3x) [sec^2(3x) * d/dx(3x)]
= 2tan(3x) sec^2(3x) * 3
= 6tan(3x) sec^2(3x)
= [5][tan^2(3x)] + [5x][6tan(3x) sec^2(3x)]
= 5tan^2(3x) + 30 x tan(3x) sec^2(3x)
You may remove the common factors if you like.
= 5tan(3x)[tan(3x)+6xsec^2(3x)]