1. Find the absolute maximum and/or minimum values of the given functions in the given intervals (in some cases, one or the other might not exist). (a) f(x)=r³-3x² + 5x +4 in the interval (0,4).

A: According to the Leibniz rule, we have: ddx∫u(x)v(x)f(t)dt=f(v(x))·ddx[v(x)]-f(u(x))·ddx[u(x)]

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A: Explanation of the answer is as follows

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A: Expand the combination using the identity,

A: 4t2+tt-52 We need to find the power of given expression.

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A: In the question it is asked to differentiate the function y=2x. Here, it is asked to differentiate…

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A: Explanation of the solution is given below...

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