Suppose that f(x) = (2x – 1)3³. (A) Find an equation for the tangent line to the graph of f at a = 1. Tangent line: y = (B) Find the values of æ where the tangent line is horizontal. If there are no such values, enter -1000. Values of æ =

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A: Explanation of the answer is as follows

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Q: 34. Find an equation of the line tangent to the graph of f(x) = (2x – 1)(x + 4) at (1, 5).

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A: Given  fx =9x2-x3  Differential both sides w.r.t x and using ddxxn=nxn-1

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A: Take the derivative of f(x) and equate to the slope of the given equation of line.

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A: Please refer the attached image for complete solution.

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A: To write an equation of the tangent line to the graph of, y=fx, at the point on the graph where x…

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