Find the derivative of the following function F(x) (2t – 1)³ dt X3 using the Fundamental Theorem of Calculus. F'(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…

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A: Given:        x2+2xy=y3

Q: Find the derivative of the function #1) F(x) = In(2x+3)· (4x +7) tan(x) t +4 dt t2 +2 # 2) h(x)= |

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

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Q: · F(x) = 5* (S₁²¹6 (√₁+ u²) du) dt

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

A: [Fundamental theorem of calculus ddx∫g(x)h(x)f(t)dt=f(h(x))*h'(x)-f(g(x))*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) = 2…

A: solution is given below

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

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 1 dt = 1+ t2 f'(x) =

A: Given: f(x)=∫2x11+t2 dt By using part I of the Fundamental Theorem of calculus to find the…

Q: Find the derivative of the function. • 2x2 g(x) = 1 dt 3 + t3 /tan x g'(x) =

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x y = In (x + 2)5 4x - 7 (x +…

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

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Q: Shows the derivative function of: u³ + 2u, where u = x² + 3

A: Let's find.

Q: suppose that x and y are both differentiable functions of t and are related by the given equation.…

A: Suppose that x and y are both differentiable functions of t and are related by the given equation…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (The…

A: Solution :-

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

A: follow next step

Q: 9. Find the derivative of the function using chain rule. f(t) = 3t In t

A: To find the derivative of the function

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Q: 3. Calculate the derivative of f(x) = tan(4t) dt. %3D -1/16

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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: 2. Show that the function psin(2r) e-*dt g(x) = is differentiable on R and compute its derivative.

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. Зх + 7 y…

A: Derivative of the function using fundamental theorem of calculus is

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

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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: Find the derivative of the following function F(x) = (2t – 1) dt using the Fundamental Theorem of…

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Q: Find the derivative of the following function (2t – 1)* dt F(x) = using the Fundamental Theorem of…

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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: Find the derivative of the following function 1 F(x) ds Va 5+7s4 using the appropriate form of the…

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Q: 3. F(x) = " In(x) (4t + et) dt. Find the derivative of F(x).

A: Given, F(x)=∫1ln(x)(4t+et)dt To find : Derivative of F(x) By using the second fundamental theorem of…

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

A: We will use the fundamental theorem to find the derivative

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…

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Q: Find the derivative of the function In t dt.

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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. et h(x) =…

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

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Q: 5. Find derivative of the following composite function using the Chain Rule: f(x) = 3x2 + 8x, x(t) =…

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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 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(2) = | sin(t*)dt F'(x)…

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Q: Find the derivative of the given function a. F(x) = dt 1+ b. g(x) = [ - dt sinx 1+1*

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