Use the Fundamental Theorem of Calculus, Part 1 to find the derivative, g'(x), of the following: 5z g (x) = f" [tcos (t) dt]

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

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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 I of the Fundamental Theorem of Calculus to find the derivative of F(x) sin (t*)dt

A: ∫abf(x)dx=-∫baf(x)dxUsing fundamental law of calculusddx∫af(x)F(t)dt=f'(x)*F(f(x))

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 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. h(x)= […

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Q: Use the Fundamental Theorem of Calculus to find the derivative of y- " cos t dt t12

A: Given that  y=∫-9xcos tt12dt

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 part I of the Fundamental Theorem of Calculus to find the derivative of sin () h(z) = . (cos (t)…

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

A: Given: f(x)=∫sin(x)31+t3dt

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 Part 1 of the Fundamental Theorem of Calculus to find the derivative of the functi h(x) = = 60%…

A: We have to find derivative

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(2) = ], 14F° 1 dt 1+t3

A: Given f(x) = ∫2x11+t3dt First fundamental theorem: if  F(x) is continuous on [a,b] and f(x) is…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin (x) h(2) = | . (cos…

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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: Calculate the derivative e12x 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. 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: 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: 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. 1 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: Calculate the derivative d In (t)dt dx Ja4 using Part 2 of the Fundamental Theorem of Calculus.…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

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

A: We have given;

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

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Q: Calculate the derivative e8x d In (t)dt dæ using Part 2 of the Fundamental Theorem of Calculus.…

A: Given To apply the fundamental theorem of calculus first simplify these integrals so that this…

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 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.  g(x)=…

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Q: Use the Fundamental Theorem of Calculus to find the derivative of h(x)= (from -4 to sin of…

A: This is a calculus problem

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

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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: Use the Derivative Rule in Section 3.8, Theorem 3, to derive d 1 sec dx x. 지 V - 1 1지 > 1.

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 8x cos(u²) du. y =…

A: Giveny=∫cosx8xcosu2du

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

A: To find the derivative of the given function

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 ( æ ) = (cos(*") +…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. x. g(>…

A: We know that, the First Fundamental Theorem of Calculus says that if f be a continuous real-valued…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = 3t…

A: By fundamental theorem of calculus, we have

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 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y g(y)…

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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: st -xp- 4–lu 1 +x4 y =

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