Consider the function f(x) : = m2 – 52+4 x + 2 a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease.

Q: Find the value of the derivative of the function f(x) = 2x³ - 5x² + 3x - 1 at x = 2.

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Q: find the first and second derivatives

A: The derivative of a function at a point is the rate of change of the function with respect to the…

Q: f(x) = 4x5 (12x² + 15x + 3)

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Q: f(x) = 3x² - 5x+21

A: SOLUTION-

Q: Find the points of inflection of the function f(x)=esinx.

A: Inflection point is the point where concavity of graph of function changes. At this point double…

Q: Determine where the function f(x) is decreasing given the first derivative is: ƒ¹(x) = x²(x + 1)

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Q: II+x8¬¿X₺++*L— 5*7 = (x)ƒ

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Q: For the function y = (9x2 - 27)/x3 , determine the increasing and decreasing intervals, and identify…

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Q: Use the sum and/or difference rule(s) to find the derivative of the following functions: with…

A: We have to find derivative of given function.

Q: Given the function f(x) = 3cos(x/2), find the relative extrema on the interval (pi, 7pi) using the…

A: Given that: f(x)=3.cosx2       in (π, 7π)

Q: b) Find out whether the following functions are odd, even or neither: i. 2x-5x+7 ii. x'+x*

A: Given:i. 2x5-5x3+7ii. x3+x4