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What is the derivative of `y = sin^5x - cos^3x`

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hellome234 | Salutatorian

Posted February 20, 2012 at 3:01 PM via web

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What is the derivative of `y = sin^5x - cos^3x`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted February 20, 2012 at 3:06 PM (Answer #1)

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The function y = `sin^5 x - cos ^3 x`

The derivative of y can be calculated using the chain rule. This gives

y' = `5*cos x*sin^4x + 3*sin x*cos^2x`

The derivative of `y = sin^5 x - cos ^3 x` is `y' = 5*cos x*sin^4x + 3*sin x*cos^2x`

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