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4. (a) Find the average rate of change of f(x) = 3x” – 2x+3 on [-2,...
2) Let f(x) = 3x2 - 2x +1. a. Find the average rate of change from x = 1 to x = 3 b. Find the equation of the secant line containing the points (1.f (1)) and (3,f(3)) c. Find the derivative of the function at the point x = 3 and determine the equation of the tangent line at that point.
When f(x) = 3x² + 2x +ă find the rate of change by finding hange by mindig f(b)-f(a) b-a f(6) - f(a) b - a Preview When f(x) = 3x² + 6x + 2, find the rate of change by finding f(0) - f(a) f(6) - f(a) b - a P review h(b) – h(a) When h(t) = 2t + 3t - 6, find the rate of change by finding – 2 When b=9 and a=3 h(9) – h(3) 9-3...
Find the average rate of change of f(x)=3x^2-2, from 2 to 4.
Let g(x)= 9x2 - 9. (a) Find the average rate of change from - 5 to 9. (b) Find an equation of the secant line containing (-5, 9(-5)) and (9, 9(9)). (a) The average rate of change from - 5 to 9 is (Simplify your answer.) (b) An equation of the secant line containing (-5, 9(-5)) and (9.9(9)) is (Type your answer in slope-intercept form.)
4) Compute the average rate of change of f(x) = -2 x² + 3x - 1 over the interval (-2, 6). Clearly present the formula being used to compute the average rate of change.
find the average rate of change for the following function. f(x)=2x^3-5x^2+7 between x=-2 and x=1. The average rate of change for f(x) over the interval -2 to 1 is ___. (Type an integer or a simplified fraction.)
Find the average rate of change for the following function. f(x) = 4x3 - 2x + 7 between x= -1 and x = 2 . The average rate of change for f(x) over the interval - 1 to 2 is (Type an integer or a simplified fraction.)
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
Question 7 (3 points) If f(x) = 2x - 7, find: a. f(3x +2) b.f-?x)
2x f(x) = ex+ f'(x) = (3x + 2) ex+3 B f'(x) = (x2 + 2x) e*+2x-1 С f'(x) = ex®+2x f'(x) = €3x+2