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Asked Mar 13, 2019
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Determine f '(x) for f (x)=(3x2+1)2

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Expert Answer

Step 1

It is known that the chain rule is a formula for computing the derivative of the composition of two or more functions.

If g is differentiable at x and f is differentiable at g(x), then the composite function F(x) is differentiable at x and F’ is given by the product F’(x)=f’(g(x))·g\'(x).

In Leibniz notation, If y=f(u) and u=g(x) are both differentiable functions, then

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Step 2

Let u=3+1 and  apply chain ru...

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Calculus

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