8) Find the average rate of change for the function f(x) = -x2 + 6x on...
Consider the following function. f(x) = x2 + 5x − 6 Find the average rate of change of the function over the interval [0, 1]. Change in y/change in x = Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(0) = f '(1) = Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 455 + 6.75x2/3 dC/dx = dollars per unit
3. Consider the function f(x) = x2 - 6x^2 - 5 a. Find the values of x such that f'(x) = 0. b. Use the results of part a to: find interval(s) on which the function is increasing and interval(s) on which it is decreasing. c. Find the value(s) of x such that f"(x)=0. d. Use the result of part c to find interval(s) on which f(x) is concave up and interval(s) on which it is concave down. e. Sketch...
Find the average rate of change of the function f(x)=from x1 = 4 to x2= 64.
Let f(x) = x2 - 5 and g(x) = 6x + 1. Find the function. fog (f.g)(x) = Find its domain. (Enter your answer using interval notation.)
Find the average rate of change of the function f(x)=x+ + 8x from x1 = 1 to x2 = 5. The average rate of change is (Simplify your answer.)
Find the average rate of change for the following function. f(x) = 4x3 – 5x2 + 7 between x = - 2 and x = 3 The average rate of change for f(x) over the interval - 2 to 3 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.)
Find the average rate of change for the following function. f(x) = 4x3 - 5x2 +6 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 of the function over the given intervals. f() = 10x + 10 a) [2,4]. b)[-3,3] a) The average rate of change of the function f(x) = 10x® + 10 over the interval [24] is (Simplify your answer.) b) The average rate of change of the function f(x) = 10x + 10 over the interval [ – 3,3] is (Simplify your answer)
2.2/ 14 Find the average rate of change of the function f(x)=f(x)= 1x2−5x−41x2-5x-4, from x=0 to x=4. Note, the directions are equivalent to "Find the average rate of change over the interval [0,4]". Average rate of change =