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Yanka [14]
2 years ago
10

Use the chain rule to differentiate the following function.f(x)=(5x+sin^3(x)+sinx^3)^3

Mathematics
1 answer:
Bumek [7]2 years ago
4 0

f(x)=(5x+\sin^3(x)+\sin x^3)^3\\\frac{df(x)}{dx}=3(5x+\sin^3(x)+\sin x^3)^2\cdot (5+3\sin^2x\cos x+3x^2\cos x^3)

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The statement for geometric model using algebra tiles represents the factorization is the statement number 2.

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You want to know the rate of change of radius of a cone 11 inches high with a radius of 5 inches and a volume that is decreasing at the rate of 541 cubic inches per second.

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<h3>Application</h3>

Using the given values of V', r, and h, we find the rate of change of radius to be ...

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<em>Additional comment</em>

The initial radius of the cone is irrelevant to the problem, since we want to know the rate of change at a specific different radius. Whether the cone is inverted or not is also irrelevant to its volume.

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