MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is - 3-e/4 (C)- 4 (3+e/4) 4 (D) infinitely many e/4 +3 4

Q: T² 2 / (x + 1) (2² + 1) dr. Evaluate

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Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

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Q: (a) / (2.x4 + Vx3 + 4e* + + 8) dx - (b) / = x3 + 3x – 4 dx - x2 (c) (x + 4)(x³ – 9) dx .3 -

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Q: S(x + 1)(2 – x)° dx 7(2 - x)* - (2 - x)* +c 7(2 - x)* -(2 – x)* +c 3. (2 - x)* +(2 – x)* +c 금(2-x)*…

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Q: (d) dx (e) S,(4x + 2)5 + (6 – 4x) dx (f) S,' 4x3 – 3x* dx

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Q: (x³ - x) dx 3 -1

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Q: 7x +3 Given f(x) then f-1(x) will be %3D 8 8х — 7 А. 7x-8 3 8х - 3 D. 8x + 7 3. 7 elect one: OB O A…

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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: e8(x) and g(x) 43. Find f'(2) if f(x)

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Q: r 4-5x 3. f(x)=- ; f'(-1)

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Q: sinh(2 In(c)) = %3D (A)를 + 옮 2c (B) c2 - (C)를 1 - 1 (D) c-! (E) 0 10:12 AM

A: As per our guideline we are supposed to answer only first asked question.Kindly repost other…

Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

Q: (2x+1)dx (x+2)^(x–1)“ (x+6)dx S (æ+2)² dx S æ (1+a²)

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Q: 7x2 + 6x + 2 If f(x) then: f'(x) = f'(2) =

A: The given function is f(x)=7x2+6x+2x

Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: x? + 4x + 1 dx (x - 1)(x + 1)(x + 3)

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If '(3) = -1 and h'(1) = 5, then "(r)dr= (A) -6 (B) 4 (C) 5 (D) 6 (E) 9 (F) 11

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Q: r³ (x + 2) 6. Find f'(6) for f(x) = V (x + 3) Væ2 – 27 11 (a) 18 11 (b) 216 11

A: Some common derivative rules are, Also,

Q: compute the higher derivative

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Q: (9) f(x² - & 8x + 3)dx (h) f(ax + + b)dx ff f(²x² (i) 7x + 4e -3dx

A: Here we have to find the integration using basic properties.   Part- g Now, ∫(x2-8x+3)dx=∫x2 dx-8 ∫x…

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: find d/dx 2x^2 -x using derication from first principle through the use of (f(x+h)-f(x))/h

A: Topic = Derivative

Q: (2xe + e*)dx + (x² + 1)e'dy = 0

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Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: 7x-2 , find f (x). Answer: (Correct to 3 decimal places) f'(x) = (-5 x + Let f(x) = %3D -4x-5 1)/(_…

A: fx=7x-2-4x-5 Now let y=7x-2-4x-5

Q: f(x) 9(2) where f(-3) = 7, f' (-3) = –9, 9(-3) = –2, and g'(-3) = 1. What is h' (-3)? Let h(x) Do…

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Q: 1 (6x–15x +9x) = x'e D² -D+3 true Error

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