The derivative of y = tan x*cos x has to be determined. Use the product rule.
y' = `(tan x)'*cos x + tan x*(cos x)'`
=> `sec^2x*cos x + tan x*(-sin x)`
The derivative of `y = tan x*cos x` is y' = `sec^2x*cos x - tan x*sin x`
Math
The derivative of y = tan x*cos x has to be determined. Use the product rule.
y' = `(tan x)'*cos x + tan x*(cos x)'`
=> `sec^2x*cos x + tan x*(-sin x)`
The derivative of `y = tan x*cos x` is y' = `sec^2x*cos x - tan x*sin x`