Find any relative extrema of the function f (x) = x³ - 3x². Then, sketch a graph of the function. (Try using the first derivative test and the second derivative test, and compare)

Q: II+x8¬¿X₺++*L— 5*7 = (x)ƒ

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Q: Complete the table to find the derivative of the function. Original Function Rewrite Differentiate…

A: NOTE: Refresh your page if you can't see any equations. . .................rewrite

Q: Use the formula  to find the derivative of the function

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Q: Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

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Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: 4x2 – 2 8х — 4 f(x) = f'(x) =- (х — 1)2 (х — 1)3

A: Given the function fx=4x2-2x-12 Domain of the function:- y=4x2-2x-12 x-1=0⇒ x=1 Domain x≠1 So,…

Q: form of (x,५) ५ = 4 (x₁9) x = 4 y = f(x)

A: The given equations,We have to find the function that is equal to .

Q: 12. a(t) a' (t) b(t) b'(t) -4 2 -3 -4 1 a. f(t) = a(t)b(t) Find f'(-4). b. g(t) = -3a(t)b(t) Find…

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Q: Find the first and second derivatives of the function. f(u) = V7 - 5u f'(u) f"(u)

A: Given function f(u) = 7-5uWe find first and second order derivative.

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: