Find the following using the table below. X 1 23 4 f(x) 4 32 2 1 ƒ'(x) || 2 1 4 3 g(x) 34 1 2 g'(x) 4 1 2 3 h'(1) if h(x) = f(x) · g(x) f(x) g(x) h'(1) if h(x) = f(g(x)) h'(1) if h(x) =

Q: If ƒ(x) ƒ'(x) = - 53 x - 7' what's f'(x)?

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

A: ddxfxn=nfxn-1f'x

Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

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

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Q: Let f(x) I+5 f(x)

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Q: · ƒ' (5) = 0, ƒ' (x) 0 when x > 5, ƒ" (2) = 0, ƒ” (8) = 0, f″ (x) 8, ƒ" (x) > 0 for 2 < x < 8, lim…

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Q: If 1 f(x) 1 .3 + 1 + x 4 X° + 3 then find f'(0) +

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Q: Let f(x)=√1+4x f'(3)

A: We know that the derivative of x^n=nx^(n-1)

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

A:

Q: Identify which of the following statements are true. f(x) 7 7 (b) f'(x) True False f(x) 0 for x 7…

A: Given informationFunction f(x) with respect to x, and peak value of function at point 7 in given…

Q: 16. Differentiate. f(x) = et %D ex+x

A: differentiating both sides with respect to x and solve the question. see 2nd step.

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: Find a function f(x) such that f'(x) = 9x² +2 and f(0) = 1 f(x) =

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Q: 2. Below is the graph of f'(x). For what values of x is f(x) decreasing? Explain. ↑f'(x) 5 3 2 -1 -2…

A: Topic = Functions

Q: 8. f(x) = 3x - 1 f(x) = f(1) x - 1

A: The objective is to solve the above expression.

Q: If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

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Q: If f(2) = 5 and f'(x) ≥ 2 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ► 20 X

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Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: =&gt; f(x)= ∫ f'(x)dx

Q: / = 20. Evaluate f (a+ 2) for f(a) 3 4x-8'

A:

Q: 3. Use the graph of f '(x) to sketch the graph of f(x). Sketch f(x) on the coordinate plane below…

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Q: 2. What is the second derivative of f(x) = - ²x³²x²+6? f"(x) = 5x² - ²³√x f"(x) = 10x + √√√x+6 a. b.…

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Q: Sketch the following functions. Show all your work. N a) Domain b) Intercepts c) Symmetry d)…

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Q: 4. Consider the graph of a polynomial function below. 2 1 -2 -1 2 4 x -1 -2 a) State the domain and…

A: As you post multiple questions According to guidelines I only solve the first one .

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: Find the derivative of the following function. f(x) = 14 f'(x) =

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Q: . Let h (x) = f (x) + g (x). Find a. h' (1), b. h' (3) , and c. h' (4).

A: Given Data: Function: h(x)=f(x)+g(x) The derivative of function h(x) with respect to x is,…

Q: f(x) g(x) h(x) = ;a = 3 f(x) f'(x) g(x) g'(x) 0. 2 0. 2. -1 3. 7. -7 7. h'(a) = %3D 3, 2. 2. 5. 2.…

A: