Find the following using the table below. 1 2 4 f(x) f'(x) g(x) 4 3 1 4 3 4 4 (2),6 h'(1) if h(x) = f(g(x)) www.

Q: If f(x) = (x + 1)²(x+2), find f'(0)

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Q: Differentiate the function. 3 + 6x g(x) 7 - 2x g'(x) =

A:

Q: (A) h(x) = 12f(x). %3D h'(2) = %3D (B) h(x) = -119(r). %3D h'(2) = %3D (C) h(x) = 2f(x) + 3g(x).…

A: Given Data: f’(2)=2 g’(2)=-1 (A) h(x)=12f(x) The derivative of the given function. h'x=12f'x For…

Q: Use the table below to find h'(-1) for h (x) = f (g (x)). I()9() lO() 1/2 0. -2 -3 1. -1 -1 -2 -2 -2…

A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

Q: For the function, find the following. 7 x5 120 f(x) = 8 + 8x + + %3D 6. 24 (a) f'(x) (b) f"(x)

A: given

Q: From the graph of f(x), determine the graph of f'(x). -6 -5 -4 -3 -2 -1 y 6 10. d 3 2 1 O -1 V 2 3 5…

A: Given graph for f

Q: Differentiate the function. G'(q) = = G(q) = (6+q-¹)²

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Q: Consider the following. f(x)=x²-6x² + 7

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Q: Find the general form of f if f'(x) = 10f(x).

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Q: If f(x) = 4 find f'(4).

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

A:

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: