madychristenson madychristenson
  • 22-09-2020
  • Mathematics
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find the derivative of y=cos^2(5x^3-2x)

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MathPhys
MathPhys MathPhys
  • 22-09-2020

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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