Question

Find the derivative of (sin(^3)x)(tan x)

Please explain to me in steps please , thank you

Answer 1

sin^3 x tan x

sin^3 x (d tan x /dx ) + tan x ( 3 sin^2x)

sin^3 x (sec^2 x) + 3 tan x sin^2 x

sin^3 x (1/cos^2 x) + 3 tan x sin^2 x

sin x tan^2 x + 3 tan x sin^2x

sin x tan x ( tan x + 3 sin x)