A definite integral property says f₁² ƒ' (x) dx + f² ƒ' (x) dx = S² ƒ' (x) dx. What is ff'(x) dx? O 1.5 2 0.5

Q: (12) Evaluate the following 1 dx (2) √ ₁ + √2+ cx 1+√√2x (b)f (Inx) dx X (c) x-1 x+1 dx

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Q: If f is continuous and f(x)dx=10 on the interval [0,4] find xf(x^2) dx on the interval [0,2]

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Q: Suppose f(x) = 7x²+5x. Find: ƒ'(1) =

A: Given: f(x) = 7x2+5x

Q: Which of the following is the derivative of f (x) = 6/a O r(2) f' (x) = %3D 3 f' (æ) = %3D O f' (x)…

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Q: 1) If ƒ(x) = x³, then f'(x) 2) If g(x) 3) If h(x) = = 1 m4 = 3x4, then g'(x) = then h'(x) =

A: As we know that; The Power law: ddxxn=nxn-1 And a·f'=a·f' , where a is constant.     1). The given…

Q: True or false: If y² = f(x) for some differentiable function f, then by implicit differentiation,…

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Q: 20. j(x) = [(sin 3x)³ +5x]²_j'(x) =

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Q: 7. 7. '5 If f(x) dx = 8 and 1 f(x) dx 5 3.3, find f(x) dx. %3D

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Q: Suppose f(x) = 19x + 18e. Find: f'(2) = =

A: To find f'(2)

Q: Given that Calculate f'(-1). f(x) = x7h(x) h(-1) = 2 h'(-1) = 5

A: Sol:- First fins f'(x) f(x)=x7hxf'x=7x6hx+x7h'x

Q: Find f f(x) dx if 4 for a 4.

A: I=∫05fxdxif fxdx=4for x<4xfor x≥4

Q: Find the derivative of the function. f(x) = Vī – 8VF f (x) = | 12r – 83x23

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Q: If f(x) ƒ'(x) = ƒ'(1) = = 4x + 5 7x + 2 " find:

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Q: Find f'(5), if f(z) = (4z² + 5x) (2x² - 8)

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Q: Find the length of the curve defined by 2 y = 5 ln 5 from x = 7 to x = 9.

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Q: x2 find f''(x). Then find f"(0) and f''(6). For the function f(x) = %3D 3+ x' f'"(x) = %3D

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