Calculate the derivative e12x d In (t)dt dx using Part 2 of the Fundamental Theorem of Calculus. Enclose arguments of functions in parentheses. For example, sin (2x). a va |a| sin (a) e12x d In (t)dt = B dx

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin (z) h(æ) = . (cos…

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Q: Calculate the derivative d In (t)dt dx 5 using Part 2 of the Fundamental Theorem of Calculus.…

A: Given ddx∫x5e7xlntdt.

Q: Find the derivative of the function F(s) = In(9 ln(8s)). F'(s)

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Q: h(x) - Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.…

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Q: Calculate the derivative d dx L In (t)dt using Part 2 of the Fundamental Theorem of Calculus.…

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Q: 1. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative, g'(x), of the function.…

A: We have to solve

Q: Apply the Fundamental Theorem of Calculus to get the following derivative. d In (t² + 1) dt dx 1

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Q: Find the derivative of y with respect to x. y = In 6x? 12 O A. 2x В. x + 6 Oc. OD. 2x +6

A: The given function is- y=ln6x2 Differentiating y w.r.t. x- dydx=16x2×d6x2dx

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) e2t2…

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Q: (213 -1 28 dt dz

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Q: Find the derivative d/dx of the following x² +1 x + 1

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Q: Calculate the derivative e10x de L9 In (t)dt using Part 2 of the Fundamental Theorem of Calculus.…

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Q: Use the Fundamental Theorem of Calculus, Part 1 to find the derivative: d •√x (t² + Int)dt dx Sa

A: First I have written the Fundamental theorem of Calculus and using it for given problem and find the…

Q: Use the Fundamental Theorem of Calculus to find the derivative of Cos t -dt t11 -3 dy dx II

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. '2 G(x)…

A: We have to find the derivative from the given

Q: . Use the Fundamental Theorem of Calculus to evaluate the derivative: t3 – t -dt cos (t) d - dx

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

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Q: 1. Applying the definition of derivative, a. find dy/dx in each of the following: 1 a. 1] y = - x² –…

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Q: 1. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative, g'(x), of the function.…

A: solnThe FTOC tell us that:ddx∫0xf(f)dt=f(x)  for any constant a(a) g(x)=∫2xt3  sin  2tdt…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of h(2) = sin (z) (cos (t*)…

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Q: Calculate the derivative d dæ In (t)dt using Part 2 of the Fundamental Theorem of Calculus.

A: First, we split the integral function into two terms. Now find the derivative of both integrals by…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 5 F(x) cos (t*)dt. CoS…

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Q: y = In (*+1) °(x+1), (x+2)3

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Q: 1. Use the "First Fundamental Theorem Of Calculus" to find the first derivative of the function. 2 –…

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Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

Q: Calculate the derivative re8x d In (t)dt dx using Part 2 of the Fundamental Theorem of Calculus.…

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Q: Find the derivative of the function f (x) = /e* – In(x) 12 – 1/x) O (ex12 – 1) O (e2 – 1/x) e? -x)

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Q: e Part I of the Fundamental Theorem of Calculus to find the derivative of the function y = cos…

A: To find the derivative of the function using the fundamental theorem of the calculus,…

Q: 5. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. •cos…

A: part 1 states that

Q: sint F(x) = √"* ( *ª*** ( √ ¹ + uª) du) dt Jo

A: The Fundamental Theorem of Calculus says: F(x)=∫ag(x)f(t) dt⇒F'(x)=f(g(x))g'(x)

Q: prove that if f = sin x the derivative is df = cos x. S dx %3D

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. y=  the…

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Q: h(x) = In (2x-2)+(x² +1)e³x-6 %D Calculate the derivative at x=2, that is h'(2)=

A: calculate the derivative as shown below: h'x=ddxln2x-2+x2+1e3x-6…

Q: Use the Fundamental Theorem of Calculus, Part 1 to find the derivative, g'(x), of the following: 5z…

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Q: The derivative of the function y = In (* + 1) (* - 1) is O y = O y = :- - 1 e+1 + -2 +1 ||

A: Question is solved.

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: Use Part 1 of the Fundamental Theorem of Calculus tofind the derivative of the function.

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Q: Suppose g(x) = = A, and f' (1) = B. Find the derivative In(In(In(f(x)))), %3D f(1) = dg dx \x=1…

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Q: Calculate the derivative In (t)dt da J3 using Part 2 of the Fundamental Theorem of Calculus. Enclose…

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Q: the derivative of sin (x) h(x) = (cos (t) + t)dt COs - 4 h'(x) = ||

A: Using Fundamental Thereom of Calculus of part 1 and chain rule,

Q: Calculate the derivative a s In (t)dt using Part 2 of the Fundamental Theorem of Calculus. Enclose…

A: ddx∫x8e5x ln(t) dt  Proof:    ddx ∫x8e5x ln(t) =ln (e5x) ddx( e5x ) - ln (x8) ddx( x8)…

Q: Use Part 2 of the Fundamental Theorem of Calculus to find the derivatives. d/dx ∫_0^x▒〖e^√t dt〗…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x) = | cos (t*)dt.…

A: Given query is to find the derivative if the expression.

Q: Find the natural domain and the derivative of the given function. (a) ln(4x + 2) (b) x · cos x (c)…

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Q: Find the derivative. COSx a) f(x) = In %3D x2-4 4 b) g(x) = Vx + e2x + Tt

A: Given : (a) f(x)=ln(cosxx2−4)

Q: Find the third order derivative of y = In(cos(2x)). A. y' = -40sec? (2x)tan(2x) B. y' = -80sec?…

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Q: Find the derivative of each of the following: (a) (x – 1) sin 2r, - (b) sin 2r T-1 (c) e2" sin 3x…

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Q: ) R(y) = S, t³ sin t dt

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