Which of the following can be determined given A √ ² (f(x) + g(x) + h(x)) dx 4 ® [ g(x) dx © [²³(AF(x f Ⓒ [²³(f(x) = g(x)) dx (4f(x) +9h(x)) dx [₁³f(x) dx = 5, ³g(x)dx=7, and Ind h(x) dx = -5

Q: Let f(x) = 2x√x + f'(x) = x³√x

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Q: (x² (а3 — 2)da 4x +

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Q: nd and simplify 2² x² (f(x) g(x)). O d² O −(ƒ (x) g(x)) = ƒ” (x) g(x)+ f (x) g″ (x) Hint 2² -(f(x)…

A: Given query is to find the double derivative.

Q: Calculus Question

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Q: (x³ - x) dx 3 -1

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Q: f(x) = '(x) = - 15 √√x

A: Given query is to find indicated derivative.

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Q: Given f (x) find f^−1 (x) for each of the following:  f (x) = 2x−3/7+x

A: Given function is:

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A: We have to solve the given questions

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A: Consider

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Q: x +1 dx x(x² + 4)' (f) | #(2² + 4) ع و ش

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Q: 1. Determine f'(x) and DO NOT simplify. f(x) = 2x³7x² + 3x - 1 a) c) f(x) = -3√x 2 b) f(x) =…

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Q: If f(x) = 3√x (x³ - 5√x+4), find f'(x). x ²7/31²- Find f'(3). X

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Q: Let f(x) = -6x4√√x + f'(x) = -2 x³√√x

A:

Q: (In(æ)) -dx; 1

A: I=∫1eln(x)4xdx Now substitute:   ln(x)=t

Q: Find the derivative 3x (x4+ 1)5 dx d 3x (x4 + 1)5]- dx

A: To find the derivative of [3x·(x4 + 1)5]

Q: Find the derivate of the function: a) f(x) = x²(x²-8) F'(x) = 2 b) f(x) = (5x²³-7) (6x + 1) = 3 c)…

A: Since you have posted multiple question in this question so i have solved the first three subpart…

Q: Letf(x) =(6x if 0≤ x ≤2,(−4 if 2 < x ≤6.Find ∫^6v0 f(x) dx.

A: Given information:Here, it is given that f(x) will be equal to 6x if x lies between 0 to 2 and f(x)…