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2) Let f(x) = 3x2 - 2x +1. a. Find the average rate of change from...
4. (a) Find the average rate of change of f(x) = 3x” – 2x+3 on [-2, 1]. (b) Write the equation of the secant line containing the points (-2, f(-2) and (1, f(1)).
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.)
Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line to yasinx at x-0. 3. Find the points where the tangent line to the function fix)-2x+3x2-12x+4 is horizontal. Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line...
(1 point) Given the function f(3) = 3x2 + 2x - 3 find the following (a) the average rate of change of fon (-4,1): -7 (b) the average rate of change of f on [1, 2+h]: 1
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.)
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...
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.)
(5 points) For the function y = 5x2: (a) Find the average rate of change of y with respect to x over the interval [5,7). (b) Find the instantaneous rate of change of y with respect to x at the value x = 5. Average Rate of Change: | Instantaneous Rate of Change at x = 5: (5 points) Let f(x) = 3x + 3x + 2 Use the limit definition of the derivative to calculate the derivative off: f'(x)...
7. (10) If 1+ f(x) + x' [f(x)] = 0, and f(1) = 2, find f'(1). 8. (10) Differentiate the function 9. (10') Find an equation of the tangent line to the curve y=9-2x at the point (2,1) 7. (10) If 1+ f(x) + x' [f(x)] = 0, and f(1) = 2, find f'(1). 8. (10) Differentiate the function 9. (10') Find an equation of the tangent line to the curve y=9-2x at the point (2,1)
Let f(x) = 3x2 + 4 and g(x) = 2x − 4. Find the function. (g ∘ f)(x) =