Calculate the derivative 12x d dx In (t)dt using Part 2 of the Fundamental Theorem of Calculus.

Q: Use the Fundamental Theorem of Calculus Part 1, to find the derivative of the function 12 f (x)= […

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

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. et h(x) 6…

A: Given h(x)= integration 1 to e^x 6In(t) dt Now finding h'(x) using fundamental theorem of calculus…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. x. 4 g(x)…

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

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of f(x) = Lret dt Sainx %3D

A: Using the fundamental theorem of calculus to find the derivative of: fx=∫sinx7et2 dt Solution:…

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: Calculate the derivative 10z d dz In (t)dt using Part 2 of the Fundamental Theorem of Calculus.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. cOS X y =…

A: To use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.y=∫sin…

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

A: solution is given below

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

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

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Q: 28 dt dz -1

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 0. y = 3…

A: Given, y=∫ex03 sin2(t)dt  We need to calculate the value of y' It is of the form of…

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

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rcos(r) (3…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(*) = Ve…

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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 1 of the Fundamental Theorem of Calculus to find the derivative of the func - 2t dt g(x) =…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rtan x y =…

A: According to the Fundamental Theorem of Calculus, If gx=∫axftdt , then g'x=fx Consider the given…

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

A: We have to find derivative

Q: Calculate the derivative d dz (2t5 34 dt using Part 2 of the Fundamental Theorem of Calculus.

A: The solution are next step

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

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

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(2) = | : 1 -dt 1 + t5…

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Q: Use the Fundamental Theorem of Calculus to find the derivative. Vx-x1-t2 dt d dx

A: The Fundamental Theorem of Calculus says: ddx∫ag(x)f(t) dt=f(g(x))·g'(x)...(1)

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y = (3 +…

A: Fundamental theorem of calculus Part -I :    If f(x) is continuous over an interval  a,b , and the…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of y=∫x4x√t√sin(t6)dt…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 15 1 f(x) dt f'(x) =

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = V +2*dt %3D…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y = |. 5…

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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: 11a d dz In (t)dt

A: To find: ddx∫x4e11xlntdt

Q: se Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function g(x) : I VR+…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 5x F(#) = | cos (t) dt.

A: Fundamental Theorem of Calculus Part I :If g(x) is continuous over an interval [c,d] and the G(x) is…

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

A: We differentiate both sides of h(x) with respect to x.

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rtan Vot +…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of = [ sin (t*) dt F(z)

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. tan x y =…

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Q: Calculate the derivative 26 dt d (6£4 dx using Part 2 of the Fundamental Theorem of Calculus. 26 dt…

A: According to the fundamental theorem o calculus:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y = 2 sin3…

A: We can use fundamental theorem of calculus in order to solve the given problem.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3x F(x) = [ cos (tº) dt.

A: Here we use fundamental theorem of calculus.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(æ) = | sin(t) dt F'(x)…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3x F(z) = | cos (t) dt.…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. 3x + 4 y…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(2) = | sin(t*)dt F'(x)…

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Q: d et? dt dx

A: Given: ddx∫xx2et2dt

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F (z) = : sin(t) dt…

A: Given query is to find the derivative.