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

Q: Compute the derivative of f(t) = (3t2 + sin t, cos3 t + 8t2, 5tan t) relative to t.

A: d(u+v)/dt=  du/dt + dv/dt

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 I of the Fundamental Theorem of Calculus to find the derivative of sin (z) h(z) = |. (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: Calculate the derivative e12x d In (t)dt dx using Part 2 of the Fundamental Theorem of Calculus.

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

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Q: Use the Fundamental Theorem of Calculus to find the derivative of 6 F(z) sin(t*)dt F'(r) = -sin(216)

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Q: g(s) = (t – t3)²dt %3D

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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: Use the Fundamental Theorem of Calculus to find the derivative of F(x) = tan(t?)dt

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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: 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 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) ]…

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: Find the derivative. F(t) = In(sinh(2t)) %3D F'(t) %3D

A: Find the derivative of the function

Q: Use Part 2 of the Fundamental Theorem of Calculus to find th. derivatives. dt sin y dy 1+ y? (b) dx…

A: Consider the integral ∫axfydy, where a is a constant. Note that, ∫axfydy will be a function in x.…

Q: d Use the Fundamental Theorem of Calculus to find the derivative. dx dt 1+ vE

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Q: Compute the derivative of g(x) = cos(t) dt-

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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: 150. dx), V9 – y²dy 3

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

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Q: Prove that d/dx(cos x) = −sin⁡ x using the definition of the derivative.

A: Given: fx=cosx   As we know from the definition of the derivative; The expression for the derivative…

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

A: follow next step

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

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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: Apply the Fundamental Theorem of Calculus to obtain the following derivative. sin(x) dx

A: The Fundamental Theorem of Calculus says: ∫abf(x)dx=F(b)-F(a) where, F is an antiderivative of the…

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

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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 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: 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 I of the Fundamental Theorem of Calculus to find the derivative of sin ( æ ) = (cos(*") +…

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Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. d dx re¹2x d dx x4…

A: This question can be solved using the concept of fundamental theorem of calculus part 2 according to…

Q: Suppose F(z) = e dt. Use the Fundamental Theorem of Calculus to evaluate the derivative. F'(z) = dt…

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Q: „sin x d dx. V1 – 1²dt 154.

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Q: Find the derivative of t² sin t In Vt +1

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Q: Use the First Part of the Fundamental Theorem of Calculus to find the derivative of the following…

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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. h (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 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