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Please help answer these questions. I only have 1 hour. Thank you f(x + h) - f(x) By determining f' (x) = lim , find

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Please help answer these questions. I only have 1 hour. Thank you

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f(x + h) - f(x) By determining f' (x) = lim , find f' (6) for the given function. h - 0 h f(x) = 8xa) Graph the function f(x) = x2 + 6x. b) Draw the tangent lines to the graph at the points whose x-ooordinates are - 4, - 2, and 0. f(x + h) - f(x) 0) Find f'(x) by determining Iim f' h>0 d) Find f'( - 4), f'( - 2), and f'(0). These slopes should match those of the lines in part (b). 8 a) Graph the function f(x) = ;. b) Draw tangent lines to the graph at the points whose x-coordinates are 0 and 1. . . . f(X+h)'f(X) 0) Fund f'(x) by determining Iim . h h>D d) Find f'(0) and f'(1). These slopes should match those of the lines from part (b). Find an equation of the line tangent to the graph of f(x) = 2x3 at (2,16). Find an equation for the tangent line to the graph of the given function at ( - 3,14). f(x) = x2 + 5 Find an equation for the tangent line to the graph of f(x) = x2 + 5 at (- 3,14). y: 2 2 Find an equation of the line tangent to the graph of f(x) = E at [5%] . The equation of the tangent line is y = 1. (Type an expression using x as the variable.)

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