For the function f(x) = find f'"(x). Then find f''(0) and f'"(4). %3D 2+x f"(x) =] Select the correct choice below and fill in any answer boxes in your choice. O A. f"(0) = (Simplify your answer. Type an exact answer.) %3D O B. f'(0) is undefined. Select the correct choice below and fill in any answer boxes in your choice. O A. f'(4) = (Simplify your answer. Type an exact answer.) O B. f'(4) is undefined.

Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

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Q: The derivative of the function - is equal to e Select one: a. a(2º In 2 + 1) b. e" (2ª In 2) c. e"…

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Q: The wind speed W in meters per second at a distanc x kilometers from the center of a hurricane is…

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Q: Determine whether f(x)=sinx+cosx is an odd or even number

A: Given function is f(x)=sinx+ cosx

Q: Find f'(x) and f"(x). f'(x) f"(x) f(x) = X +² 9

A: Given query is to find indicated derivative .

Q: Differentiate the function g(x) = 2x² + 5tanx. Answer g'(x) =

A: Given : the differenctiate Equation : g(x)=2x2+5tan(x)

Q: A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From…

A: Answer

Q: Explain why f(x)=sinx is an odd function.

A: We have to explain the given function is odd function: fx=sin x We know for odd function it must be…

Q: Sketch the graphs of the following function * y = tan(x)

A: Solution:-

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

Q: Find the indicated higher derivative of the given function. y = 4x² + 9x³-5x + 6; find y". y" = ||

A: Find the double derivative of the function  y= 4x4+9x3-5x+6

Q: Differentiate the function   f(x) =    5  - 1 /x

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Q: Let f(x)=sin(2x+4). Which function g(x)  represents f  shifted two units to the right and one unit…

A: We can use the graphical analysis in order to solve the given problem.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: