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

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Question:

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

Answers

Step-by-step 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)

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