Graph the function f(x) = - 3x? and draw the tangent lines to the graph at points whose x-coordinates are -2, 0, and 1. 10 -2 Clear All Draw: f(x + h) – f(x) Find the difference quotient h Find f'(x) by determining lim f(x + h) – f(x) h h→0 Find f'(– 2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1)

Q: Find an equation for the tangent line to the graph of the given function at (-3,1). f(x) = x² – 8…

A: Given: The function fx=x2-8and the point -3,1. To find: The equation of tangent line to the graph of…

Q: 3x + 1 etermine the approximate slope of the tangent to the curve f(x) = 2x+7 at x = -2, to one…

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Q: Graph y = - x“ + 2x² – 10 function using x- and y-intercepts, critical points, points of inflection,…

A: Plot the graph for f(x).

Q: The graph of  f pases through the point (1,-8) and the slope of its tangent line at  (x, f(x)) is…

A: It is given that graph of f passes through 1 , -8 and slope of the tangent at x, fx = 2x+1i.e    f'x…

Q: Let f (x) = x3 – 5x + 2, Use Derivative Rules to find the following: a) Find the equation of the…

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Q: Consider the function f(x) = 4x − x² and the point P(1, 3) on the graph of f. (a) Graph fand the…

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Q: a).Find x value where the graph has a horizontal tangent line. f(x) = x^3 + x Using the fact that…

A: The given function is  f(x) = x3 + x Differentiate with respect to x , we get f'(x) = 3x2 + 1