Let f) = 4x2 - 2x. (a) Use the definition of derivative and the Procedure/Example box in this section to find the derivative. f'(x) = (b) Find the instantaneous rate of change of f(x) at x--1. (c) Find the slope of the tangent to the graph of y = f(x) X = -1. (d) Find the point on the graph of ,- at .. (x, y) =

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A: The tangent line is horizontal where y'=0

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A: Derivative product rule:The derivative product rule for the functions x and y is given by,

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Q: find the first derivative f'(x) at the point x 1.3. Use two point central difference

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A: slope of the tangent line is m=dydx at (1,7)   By limit definition of…

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A: Explanation of the answer is as follows

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A: Given function is By first principle of differentiation, we have

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A: The slope of tangent to a curve y=fx  at point a,b is given by dydxx=a.

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A: On solving this we will get

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A: Follow the procedure given below.

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Q: 1. Describe the relationship between the derivative of a function to the slope of the tangent line.

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