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Please answer and show work The function f' defined by the formula f'(x) = lim f(xth)-f(x) h is called the derivative of f with respect
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The function f' defined by the formula f'(x) = lim f(xth)-f(x) h is called the derivative of f with respect to x. The derivative of a function f can be interpreted either as a function whose value at x is the slope of the tangent line to the graph of y = f(x) at x, or alternatively, it can be interpreted as a function whose value at x is the instantaneous rate of change of y with respect to x at the point x. The normal line to a curve at a point is the line perpendicular to the tangent line at that point. Solve each problem below. For each problem, se the definition of the derivative to find f'(x). 1. Given f(x) = 3x -4 (a) Find f'(x). (b) Find f'(-2), f'(0), and f "(3). (c) Write an equation of the tangent line at x = -2. 2. Given f(x) = 2x' -7x+1. (a) Find f'(x). (b) Find S'(-3). (c) Write an equation of the tangent line of f(x) at x = -3. 3. Given f(x) = V8x (a) Find f'(x). (b) Find S'(2). (c) Write an equation of the tangent line of f(x) at x = 2Step by Step Solution
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