Question

Find the derivative of y=cos^2(5x^3-2x)

Answer 1

Explanation:

Use power rule and chain rule.

y = cos²(5x³ − 2x)

dy/dx = 2 cos(5x³ − 2x) (-sin(5x³ − 2x)) (15x² − 2)

dy/dx = 2 cos(5x³ − 2x) sin(5x³ − 2x) (2 − 15x²)

Use double angle formula to simplify:

dy/dx = sin(10x³ − 4x) (2 − 15x²)