Find the following using the table below. 1 2 3 4 1 3 2 4 4 2 f(x) f'(x) 13 g(x) 23 14 g'(x) 1 2 4 3 h' (2) if h(x) = f(x) · g(x) f(x) g(x) h' (2) if h(x) = f(g(x)) Question Help: h' (2) if h(x) = Video Message instructor

Q: 8. Find f'(x) for the function f (x) = (5x² + 3)4

A: ddxfxn=nfxn-1f'x

Q: 39.3

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Q: Consider the following table x f(x) g(x) f'(x) g'(x) 5 0 2 0 2 11 -2 3 2 4 4 1 -1 33 -3 2 3 What is…

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Q: Consider the following table xf(x)g(x)f'(x)g'(x) 02 5 0 2 11 -2 3 24 4 1 -1 33 -3 2 3 What is h'(2)…

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Q: (2-9x³), find f'(x). Given f(x)= In (2-9x³), f'(x) =

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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: 9. From "First Principles" show that if f(x)= == 2 x²-3' then f'(x) = - 2x (x² - 3)²

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Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: Suppose that f(x) 2 4x Find f'(x).

A: use quotient rule for differentiation

Q: 3. Consider the following table of values for two functions f and g: X 1 2 3 4 f(x) 2 4 1 3 f'(x)…

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Q: Find the following using the table below. X 1 2 3 4 3 4 f(x) 2 1 f'(x) 2 4 3 1 g(x) 2 4 3 1 g'(x) 2…

A: 1) given function h(x)=f(x).g(x)Derivative w.r.t 'x' by using the product ruleformula of the product…

Q: x + 2 Consider the function f(x) Compute each of the following. Simplify your answer and use exact х…

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Q: 2. Suppose that f(x) is an unknown function, but we know that g(x) = (x² + 5)(f(x))². (a) Find…

A: Using product rule of derivatives.

Q: Find the following using the table below. 1 2 3 4 f(x) f'(2) g(x) 2 4 1 3 1 4 3 2 4 3 1 1 3 4 (x),6…

A: Given,

Q: Find each of the following. In some cases, you may need to rewrite the function firs (a) F'(x) for…

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Q: Given f''(x) = 9x + 5 and f'(-3)=-3 and f(-3) = 6. Find f'(x) = and find f(2)

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