Differentiate the functions with respect to x. cos x 3 . sin 2 (x 5 )

Question

Philoid · Accepted Answer

Given: cos x³ . sin² (x⁵)

Let y = cos x³ . sin² (x⁵)

We know that,

= cosx³.2sin(x⁵).cos(x⁵)(5x⁴) + sin²(x⁵).(-sinx³).(3x²)

= 10x⁴.cosx³.sin(x⁵).cos(x⁵)-(3x²).sin² (x⁵).(sinx³)

Differentiate the functions with respect to x.cos x3 . sin2 (x5)