(a)Expand and then differentiate the following function

| February 25, 2017

Question
(a)Expand and then differentiate the following function: y = (75x^2 + 10x^-2)(20x^2 – 1.5). Now use the product rule to differentiate the original function, thereby showing that the two approaches yield the same answer.

(b)Find the indefinite integral of the following function f(x) = 2x – 6x^5

(c)Find the value of the definite integral for values of x from 1 to 3 for the function f(x) = 4x^3

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