Q 3) Find the critical numbers of f(x) = x4(x - 1). Derivative Test' tell you about the behavior of at these critical numbers? What does the 'First Derivative Test' tell you? What does the 'Second

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A:

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A: You have the critical points with you along with the second derivative of the function. Put the…

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A: to find out the critical points, sign of first derivaticve on intervals, local maximum, minimum.

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Q: Find the derivative of the function * 15 f (x) = (18x + 23) 3 1 12x 12 f' (x) = f' (x) = (18x² + 23)…

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Q: Three hat function is 1/4 , Verify Test function. (-u''=1, u(0)=u(1)=0.)

A: Differential equation : Boundary conditions :