If f is continuous and f(x)dx=4, | xf(x?)dx=

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: Which function has the same derivative function f (x) as g(x) = Inx + x? – x? Select one: O a. f(x)…

A: Given function is : gx=lnx+x2-x

Q: Compute the indicated derivative. d + 7x)(x2. dx x = 2

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Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.

Q: The derivative of y= xh* is O 1) (In x)(xh*-) O 2) 2 an x)(xh*) O 3) (In x)* O 4) xhx

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Q: 1 (In x+1)x dy dx

A: Given integral is evaluated as follows

Q: Find the derivative of f(x) = In(e +4) 1 O 3e? e+4 3e3

A: We use the chain rule

Q: If f(x) = and g(x) = Vx, then the derivative of f(g(x)) is -VE (A) ( + 1) (B) -(x + 1)- -2x (C) ( +…

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Q: Compute f dx, where f(x)=|x|.

A:

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

A: Formula

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

A:

Q: The distributional second derivative of u(x) = |x|, Vx R is given by O бо 0-80 O 0. 200

A: To find the distributional second derivative of ux=x, ∀x∈R.

Q: d Find the value of f(x) if f(x) : cos (t) dt. dx. COS f(x) =

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Q: f(x, y) = 1/(xy), then the marginal pdf of X is (log x)/y. Is this statement True/False?

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Q: Find the linear approximation of f(x)=ln(x) x=1 and use it to estimate ln(1.1). L(x)= ln(1.1)=

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Q: When is f (t) increasing at the greatest rate?

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Q: At time t = 0, then th

A: P(t)=0.5t4-16t3+144t2       , 0≤t≤12At t=0 the sale begins,costco is having a 12 hour sale,The rate…

Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: Find the derivative of the given function. 5x y= In 6+x dy dx

A:

Q: Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate ln(1.33).

A: The linear approximation of f(x) at x=a is given by L(x)=f(a)+f'(a)(x−a) Given, f(x)=ln(x) at x=1.…

Q: If f(x,y) = y2 ex + 3 ln (xy), find fxyy (1,1). fxyy (1,1) = ?

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Q: 1. If F(x)= = cos a sin r (√t-1)' dt, find F'(x).

A:

Q: The derivative of In x is and the derivative of a constant C is, sO X dx = In |x| +C for x> 0.

A: Given x>0, The differentation of natural log x is 1/x  And differentation of constant are zero.

Q: Compute f dx, where f(x)= |x|

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Q: Evaluate the derivative of indicated order of the following functions: d2 (x cos(x² + 3x) а. dx2 d…

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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: Which function has the same derivative function f(x) as g(x) = lnx + x² – x? Select one: O a. f(x) =…

A: Given: g(x)=ln x+x2-x The derivative of ln x is 1x. The rule for differentiation is ddxxn=nxn-1…

Q: If f(x) = – x Find: S",(f(x))² dx That is find S"(: ,(1 - x)?

A:

Q: 1. Find the anti-derivative of the following. e" (x + 1) dx x2

A: From the given information. Anti-derivative has to be calculated to the following expression.

Q: (a) By using the chain rule and the derivative = (xl) if x>0 (-1, if x< O' dx find - (Ix – x|)DvxE…

A: Given : ddx(x)=1 ,     if x&gt;0-1 , if x&lt;0 To find : ddx(x3-x) , where x∈(-1,1) and x≠0

Q: Find the following derivative In (x) dx (In (x) +2) d In (x) dx In (x) +2 d

A:

Q: Let y = In(x'e2x ). Find dy/dx.

A:

Q: Find the following derivative In (x) dx In (x) +2 d In (x) dx In (x) +2 d 이종

A: NOTE: Refresh your page if you can't see any equations. . use the quotient rule for derivatives

Q: Find f(2x)dx if f(x)dx = 1. Enter the exact answer. f(2x)dx

A:

Q: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

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Q: Find (x' In(x)). dx

A:

Q: Compute the derivative d/dx of the following functions: f(x) = x cos^2(4x)

A: The given function is: fx=xcos24x   As we know that; The Product rule: f·g'=f'·g+f·g' The Chain…

Q: Find the linear approximation of f(x)=ln x at x=1 and use it to estimate ln(1.24). L(x)=?…

A:

Q: Find the derivative of each function e 2x a. f(x) = 2x+1 b. f(x) = In Vx + 2x %3D c. f(x)= x?e* – 6x…

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Q: Find the derivative. y= e at O 4(1/4)x -4(5/4)x In 4 4(3/4)x In 4 4(5/4)x 25 n4 16

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Q: Find the derivative of the function. sin(x) y = In(1 + 7v) dv g'(x) = Jcos(x)

A: Solution

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

A:

Q: Limit 0 to 2 √x dx

A: We have to find the definite integration: ∫02xdx We know the formula of integration, ∫xndx=xn+1n+1+C…

Q: Find the second derivative of y with respect to x if y = x In(x) - X. А.X In(x) B. In(x) C. In(x)/x…

A: The given function is y=x ln(x)-x

Q: Integrate the following functions f(x)=Ln [sec (x)] [², 3]

A: We will see the graph of secx to judge the value of greatest integer function of secx.

Q: 2. If f(x, y) = 1/(xy), the marginal pdf of X is (log x)/y.

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Q: Find the derivative with respect to x of h(x) = e2x²+6 In(x).

A:

Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

A:

Q: If f(x, y) = 1/(xy), the marginal pdf of X is (log x)/y. TRUE or FALSE ?

A: