Find f'(x) and f'(c). Function f(x) = (x4 + 3x) (2x5 + 4x4) c = 0 f'(x) = f'(c) = Value of c

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A: topic - derivative of a function

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A: Given that, f(x) = (- 4x5 - 4x4 + 2x3) / x4 And we have to calculative the first derivative of the…

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A: According to question,Given Derivative,f''x = 20x3 + 12x2 + 4,f0 =6,f1 = 1

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A: Given query is to find the derivative of the function.

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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A: f(x)= (2x-1)4 (3-x5)4Let (2x - 1) = u and (3-x5) = vHence, du/dx = 2 and dv/dx = -5x4Also, f = u4v4…

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A: Given, f'(x)=3x2+2x+5 To find the function f, Integrate f'(x) with respect to x  we get,…