,6 .6 If f(x)dx=10 and| f{x)dx=3, then | f(4 – x)dx=? -2

Q: What is the first derivative of the following function: f(x) = (x³ + 2)4 O f'(x) = 12x²(x³ + 2)³ O…

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Q: Find the following derivative. d. a ((x°+4) in x) ((x³+4) In x) =

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Q: In(7æ) Given f(x) = 7 the derivative f'(x) is. 1 7x 1 7 7 7x 1 7x

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Q: If f(x) In 2 + e9x find f '(0). f '(0) = | 9/2

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Q: In(3x) Given f(x) the derivative f' (x) is 3 O x3x 3 3 1 3x 3x

A: differentiate both sides with respect to x and solve the question. see 2nd step.

Q: 1.) S dr 3 f from 0 to ³

A: We have to find out the solutions

Q: # 22 The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an ry X…

A: The probability distribution function is f(x)=21-1x2; for 1≤x≤2 and 0 otherwise. So in the graph of…

Q: This does not make alot of sense. If applying the definition how does the e^-st get moved outside as…

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Q: if f'f′ is the derivativeof ff with 2∫1f'(x)dx=10∫12f′(x)dx=10 and f(2)=4,f(2)=4, then f(1)

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Q: Find the following derivative In (x) dx 3 In (x) + 4 In (x) dx 3 In (x) +4 d. 이증

A: Formula

Q: 22) If f f(x) dx = 4, Sí f(x) dx = 4, and f(x) dx = 6, find the value of f(x) dx. = a) 2 b) -2 с) 3…

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: Suppose f(x), f'(x) have the values shown: 1 3 4 f(x) - 2 1 3 4 f'(x) -1 9. 1 3 -7 Find the…

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Q: The first derivative of the given function is 3 poi y = In(1 – 2x)³(2x + 1)² 10x+1 2x+2 1-4x2 1-4x2…

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: given: f=x3y2-yx+lnx to find:fyyxxx

Q: x²Sin(x) y = In 2x + 1 9.

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Q: 1) Find the hundredth derivative of p (x) = (x + x° + x')'º(1 + x²)'' (x³ + x° + x'). Justify your…

A: Here we have to find the hundredth derivative of p(x)=(x+x5+x7)10(1+x2)11(x3+x5+x7) .

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given functions are: y=a2-t2x=42t2+a In order to calculate d2ydx2, firstly we will calculate d2ydt2…

Q: Find the indicated derivative. q2 + 2 59 - 2 dp for for p = dq g* +2 p 5q – 2' q. dp dq

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Q: Evaluate S h(x)dx geometrically for h(x) 5 - x ;x 1 °

A: Given:

Q: 5) Use the table given to compute the following derivatives. 1 2 3 4 5 f(x) 3 5 1 f'(x) 3 -5 -9 -10…

A: Given,To evaluate

Q: 5. Below is the graph of f(x). Consider g(x) = | s(e) dt 3 4

A: Given The graph of fx is given. Consider gx=∫0xftdt

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

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Q: 1) The derivative of f (x) = e2x² cos x is: 2) Simplifying the expression e n(4x-3) + eln 2x In(e3x)…

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Q: Find f’(e) of the following function. f(x)= x3 *(ln x- 1/3)

A:

Q: 4 Use the table to the right to find the given derivative. 5. f(x) f'(x) g(x) g'(x) 4 f(x)g(x) h(x)…

A: GIven : h(x) =f(x)g(x)x

Q: 6. Find [ f(x)dx if f(x) = et -1, if -3<x<0 V9-x², if 0<x<3

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Q: Find the indicated derivatives for #'s 1-6: 1. y'for y = 4In x 2. f'(x)for f(x) = In x³. 3. a. f'(x)…

A: As per guideline we have to solve three question

Q: 6. Find the derivative for each function. b. f(x) In 5x3 2)3 f(x) (e*3 2) а.

A: Use exponent rule for exponent 3 and use chain rule for (e^x^3 +2)

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

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Q: Suppose f(-3) = 3, f'(-3) = 5, = -8, and %3D g(-3) = 1, gʻ (-3) = H(x) = f(x)e®(x). Find the…

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Q: The first derivative of the given function is y = In(1 – 2x)³(2x + 1)? 10x+1 2x+2 1-4x2 1-4x2 20x+2…

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Q: у 3 2Таn(0.5х) — х II

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Q: 5) Use the table given to compute the following derivatives. 1 2 3 4 f(x) 1 f'(x) 3 -5 -9 -10 g(x) 4…

A: topic. - functions and derivatives

Q: Find the derivative of the function. 12 32 In(5)2In (2) (

A: Calculation:

Q: 8. Find the derivative of (logsx?). dx 2 A. x In 5 1 В. x In 2 С. x In 5 D. 2x In 5

A: Solving the problem by finding the value of the derivative. For the question no 8. Option A is…

Q: 7. Find the derivative of each funcrion. a. y = 5-4* b. fCx) = xqx d. FCx) = Togax-1 C. Y =…

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Q: Find a formula for f(n)(x) if f(x) = e' -3x fln)(x):

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Q: In(5æ) Given f(x) the derivative 5 f'(x) is 1 5x 5 1 5x 1

A: given f(x)=ln(5x)5 Note- 2 different questions (Multiple)are asked, I am answering first.

Q: Which of the following is the derivative of the function f (x) = 5x · e*? Of (x) = 5e* Of'(x) = 5e*…

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Q: 8. y = In (x³ + 3x – 4)

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Q: (x²–1) f(x) = (In x)

A: Derivative of f(x) is given by

Q: Find the derivative of the following: 1. D, (x³) 2. D, (5x2) 3. D, (x – 2x*) 4. D, (x-2)(2x +3) 5.…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: 1) A course repeater claims that his brother who did some Calculus at college years ago, but…

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Q: 7. Find the derivative of the given function. Simplify and express the answer using positi exponents…

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Q: Derive the following formula for approximating the derivative f": 1 f"(x) ≈ (-f(x+2h) + 16f (x + h)…

A: Given: The formula is f'(x)≈112h -f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h). To prove: The given formula. To…

Q: (2) The number of people in a certain community who contracted a certain disease is modeled by 1000…

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Q: Given f(x) In(5x) the derivative 5 f'(x) is 1 5x 1 5x O 5 O x5x 1

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Q: If f(x) is odd and ∫−1 5 f(x)dx=14, then ∫1 5 f(x)dx=

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: The given functions are: fx=2x2-1x2+3x2+1 and gx=x2+872-3x25 The person's brother believes that,…