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Find the average rate of change of the function 1 f(x)= as x changes from x= -4 to x = 3. X-4 The average rate of change is. (Type an integer or a simplified fraction.)
a) Find the simplified form of the difference quotient for the function f(x) = 5x²-x b) Complete the following table. -X. X 5555 сл сл сл сл h 2 1 0.1 0.01 f(x+h)-f(x) h a) The difference quotient is. (Simplify your answer. Do not factor.)
a) Find the simplified form of the difference quotient for the function f(x) = 4x² - 4x +4. b) Complete the following table. X 6 6 6 6 h 2 1 0.1 0.01 f(x+h)-f(x) h a) The difference quotient is (Simplify your answer.) f(x+h)-f(x) h
Find an equation for the tangent line to the graph of the given function at (5,20). f(x)=x²-5 Find an equation for the tangent line to the graph of f(x)=x²-5 at (5,20). y= ...
Find an equation of the line tangent to the graph of f(x) = -5-8x2² at (3,-77). The equation of the tangent line to the graph of f(x) = -5-8x² at (3, − 77) is y = . (Type an expression using x as the variable.)
List the points in the graph in the interval -2<x<8 at which the function is not differentiable. -4 -R Ay 10 8- 6- 2- -et 2 A -60 -∞ CIIB 0 The function is not differentiable at x = (Use a comma to separate answers as needed.)