Find the average rate of change for the function. f(x) 6x2-3x + 1 on the interval [-3,2].

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: f(x) = +x* – x' x² + 2x – 1 4 - - -

A: Given: fx=14x4-23x3-12x2+2x-1

Q: Differentiate the function. f(x) = x6174 + 2x50 – 13x* + 4x – x-6 + n²

A: Derivative of function

Q: A car's movement is represented by the function 2x3 + 6x2 + 2x + 3 in kilometers reco at an hourly…

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Q: Let f(x) = 3-4x. Find f(-2). f(-2)% =

A: Let f(x) = 3 - 4x, We have to find the value of f(-2)

Q: Differentiate the function. y = 2x/2 - 3x

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Q: Draw the function of y = x 2 / 3 + x2

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Q: Find intervals of increasing or decreasing for f(x)= 2x² +3x – 36x. Show me your table.

A: Differentiate the function fx with respect to x. f'x=6x2+6x-36

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.

Q: Plot the functions x, x2, exp(-x), exp(-x2) on a single graph for x between 0 and 5. Repeat the…

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Q: Determine what x = 5 is (max/min/neither) of the function f (x) = 2x2 − 3x + 9

A: Given f (x) = 2x2 − 3x + 9