In Exercises 1-6, use the Product Rule to calculate the derivative. dy y = (t – 81-1)Xe' +r?) r=2 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: In Exercises 25–27, find the derivative of y with respect to the appro-priate variable. 25. y =…

A: Hey since there are multiple questions the first question is answered and repost the question if any…

Q: Part 4: A derivative computation using the FTC and the chain rule d d (F(2*)) = dx dt |3| e dx 20

A: Topic:- application of integration and derivatives

Q: * Part 4: A derivative computation using the FTC and the chain rule d d (F(x*) dx dt dx

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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. G(x) =…

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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: 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 the function. tan(x) 3t…

A: According to part 1 of the fundamental theorem of calculus,

Q: (213 -1 28 dt dz

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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 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: Exercise 10. Find the derivative d 7x (* + 2) dt dx

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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 part I of the Fundamental Theorem of Calculus to find the derivative of • sin ( z) h(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. 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: 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. (The…

A: Solution :-

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

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

A: To find the derivative of the h(x) using fundamental theorem of calculus part 1.

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

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Q: d rcos t sin(x²) dx dt

A: Given,            ddt∫1cos t sinx2 dx

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 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.  g(x)=…

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Q: EXERCISES 2: Find the derivative of the function at Po in the direction of A. 1. f(x, y) = 2xy –…

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

A: Given that ,ddx ∫x3e5x   ln (t) dtTo apply fundamental theosem,ddx∫a(x)b(x) f(t) dt = f(b(x)). b1(x)…

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 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 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 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…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of Cos t dt

A: Given :y = ∫-4xcostt8dt

Q: In Exercises 14 and 15, use implicit differentiation to find dy/dx  14. y^ln x = x ^(x)^( y) 15. y^(…

A: In the first part taking log from both side and then differentiate with respect to y:

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: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 0. x, F(x)…

A: Given: F(x)=∫x0 1+sec(7t) dt We have to find the derivative of the function (F'(x)) by using the…

Q: 2) Find second derivative d'F/dt? of 312-2 F? = 13 and find it at (t,F) = (-1,2)

A: We have to find the required second derivative at the given point.

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 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: Calculate the derivative 27 dt d da using Part 2 of the Fundamental Theorem of Calculus. d dx 27 dt…

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