-6 -5 -4 -3 -2 -1 5 of f(x) 4 3 2 1 -1 1 -2- -3- N 1 f(x) dx = 0 of f(x) dx > -5 Which of the following is true about 0 2 f(x) dx < 0 3 4 5 -L₁ f(x) -5 of 1(2² O Not enough information to answer a f(x) dx?

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Q: Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. du 1 +=…

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Q: 1.2 s Find first derivative for the following functions. dx (a) y = 5+ 6x + 4x3 (b) y = In(2x) +x*…

A: Note:-Since you have asked multiple questions, we will solve the first question with three sub-parts…

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A: (a)

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Q: 1/4 (x*-x Q 10. -dx is equal to 3/4 5/4 (a) 15 +C +C 4 (c) 15 S/4 1 +C (d) none of these

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Q: '5 Find | f(x) dx if 3 if x < 3 f(x) %3D if x 2 3.

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Q: x+3x + 2 If f(x) = then f'(1) = %3D O 3 07 0 5 0 4

A: By using differentiation property, we calculate the required value.

Q: (3) S x²Vx + 1 dx

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Q: Yob) a) fog)(x) & 3. = (x)) JI 2. x+2 (x)6 8 %3D then find

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Q: 7) Find √ (1/1₂ + 3x + 2) dx

A: Given problem:- ∫4x2+3x+2dx

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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…

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Q: 4. x(x² – 1)² dx

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Q: *+ 3x² + 2 If f(x) = then f'(1) = 0 3 O 7

A: Differentiate wrt x

Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: d Show that In dx 1 (a) x+2 x* +3x +2 1 (b) Hence find the exact value of dx in simplest form. r*…

A: iii.a. Quotient rule of differentiation states that ddxfg=f'g-g'fg2 Chain rule of differentiation…

Q: 4 xf (x* )dxif f(x)dx = 5. Find Enter the exact answer. f (x* )dx=

A: given:-∫04f(x)dx=5now∫-20xf(x2)dxlet,x2=t2xdx=dtxdx=12dtx=-2,    t=4x=0 ,       t=0

Q: 7 x + 3 Let f(x) = x³ . x + 5 f'(x) =

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