Mathematics, 30.09.2019 04:20 mariahrpoulin1511

Find the nth derivative of (sin x)^3

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You'll need to try to find the pattern that applies here. Find the 1st, 2nd, 3rd, 4th and 5th derivatives. Is a pattern evident?

n=1: first derivative of (sin x)^3 is 3(sin x)^2*cos x (which is a product)

n=2: second deriv. of (sin x)^3 is 3(sin x)^2*(-sin x) + (cos x)*(6sin x cos x)

Please find the 3rd, 4th and 5th derivatives. Then try to recognize a pattern in the derivatives governed by the counter "n".

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the statemwnt is the company makes small and large snow cone cups.

large=it holds more then the small

small=it holds less then the large

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