Use the following table to answer the questions below. 1 2 4 f(æ) f'(x) g(x) 3 4 1 4 1 3 2 4 3 1 2 1 3 4 (x), 6 Find h'(2) if h(x) = f(x) · g(x) f(æ) Find h'(2) if h(x) Round to 3 decimals as needed. g(x) Find h' (2) if h(x) = f(g(x))

Q: Find f''(x). f(x) = V (x² + 1) 5 %3D f"(x)=|

A: topic - derivative of a function

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

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Q: 39.3

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Q: Differentiate the following function. f(x) = (x+2) e-6x +1 f'(x) = (Type your answer in factored…

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Q: 10. (a) Given that f(x) = x² + 2 and g(x) find X - 3' f(8(x)) and state its domain. What is f(8(5))?…

A: 10). (a) Given function are fx=x2+2 and gx=2x-3. To find fgx and state its domain and also to find…

Q: Simplify erf (x¹) dx

A: Simplify ddxerfx4

Q: 1. h(x) = 5f(x) – 4g(x) Answer. h'(-2) =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Let f"(x) = 6x + 3x?. (a) Find the most general formula for f'(x). If an arbitrary constant must be…

A: Let's Solve,

Q: Calculate the following derivative if h(w) Vwew. (Use symbolic notation and fractions where needed.)…

A: According to the product rule, derivative of the product uv where u and v are functions of x is…

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

A: use quotient rule for differentiation

Q: Given f (9) = 2, f' (9) = 6, g (9) = -1, and g' (9) = 8, find the values of the following. (a) (b)…

A: to find the values.

Q: 4. Given a function f(x) that is written as f(x) = h' (2) = 4, then f'(2) =? g(x) h(x), if g(2) = 2,…

A: 4. Given a function f(x) that is written as f(x) =g(x)·h(x) , if g(2) =2 , h(2)=-2 ,g'(2)=-3 and…

Q: (a) f(xi), f(xi+1) and f(x+2) are three data points of f(x) and equally spaced at x with the step…

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Q: Given f (7) = 3, f' (7) = 7, g (7) = -1, and g' (7) = 9, find the values of the following. (a) (f9)'…

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Q: 7. Given f(x) x + 1 write an equation for the inverse 3' function.

A: The steps to calculate the inverse is given below: Replace f(x) by y. Now replace x with y and…

Q: 5. Find (f-1)'(c) for the following functions: (a) f(x) = 5x³ + 4x³, c = 9. (b) f(x) = 3t – , c =…

A: We will find out the required values.

Q: Find the following using the table below. x 1234 f(x) 13 4 2 f'(x) 1234 g(x) 3 12 4 g'(x) 1 2 4 3…

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Q: 1)y = (8 + 7x³) 2)y = (x + 5)(2x+3) Find the derivative of the following functions (answer only two)…

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Q: If the price of 35 tons of steel is RO 250,000. Find the cost of 900 kg (Kilogram) of steel.

A: Given that the price of 35 tons of steel is RO 250,000.

Q: By using False Position for f(x) = x3 - 4x +4 (XL=-3; xU=2) xr will replace

A: This is interesting question but before the solution we must know about the  false position method…

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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