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

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: dy Use implicit differentiation (as presented in class) to evaluate at dx the point (3, 2) on the…

A: We have to evaluate dydx at the point 3, 2 on the curve x2+3xy-6y=15. We have to use the implicit…

Q: al derivatives of t 'sin(z+y)

A: According to our terms and condition i have solved first question for next question repost

Q: Find th epwation of the tangent line to An- (x-2y): 2xy-1 at print (1, 2) d [sin- (x-2g)] = (2xy-1)…

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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: Find the differential of each function. (a) y = tan(7t) dy = 3 - v2 (b) у 3 3 + v2 dy =

A: topic - differential equations

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

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Q: Let y = tan find the differential dy of the function.

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Q: Determine the equation of the tangent line to the graph of g(x) = mz [1 – sin(ne')]dt at the point…

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Q: Find the derivative of y with respect to t at t=2 if a) у %3D х + sinх - cos(1 + x+x?) аnd x = (t/t…

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Q: 2x g(x) = |VI+t? dt 1+t2 dt %D

A: To find the derivative

Q: Calculate the derivative e10x de L9 In (t)dt using Part 2 of the Fundamental Theorem of Calculus.…

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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: Find the derivative of the function at Po in the direction of A. 1- f(x, y) = 2xy - 3y² , Po ( 5,5),…

A: As per our guideline we are supposed to answer only one question you can repost other in next…

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

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

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

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Q: (c) Use implicit differentiation to compute dy/dx: In(xy) = x°y² + e"

A: We have to find the dydx.

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

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Q: Find the derivatives of the functions y = sin-1√1 - u2, 0 < u < 1

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Q: b) Find O Using the chain rule to find de x-1 dy of y= dy of y sin 1-xy ) Using the implicit…

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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: 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 I of the Fundamental Theorem of Calculus to find the derivative of h(2) = sin (z) (cos (t*)…

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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: dt d Use the Fundemental Theorem of Calculuss to find the derivative dx 1v

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Q: Find the differential of each function. (a) y = tan(3t) dy =

A: We have given  y= tan(√3t)  We have to find the differential equation.

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: Calculate the derivative d da 34 dt using Part 2 of the Fundamental Theorem of Calculus. 34 d dx…

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Q: Find the derivative with respect to x. (c) y = v7x – x4 (d) y = (1+ sin 7.x)-5 (a) y = (5x – 2)*…

A: This question is related to derivative, we will solve it using given information.

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: By referring to implicit differentiation techniques, compute dy at point dx (3, t) for the following…

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Q: Calculate the derivative d dx t14 + 5dt using Part 2 of the Fundamental Theorem of Calculus.

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

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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: Determine the equation of the tangent line to the graph of g(x) = Sm, [1 – sin(ne')]dt at %3D In x…

A: We have to find the equation of the tangent line to the graph of gx=∫lnx01-sinπetdt at the point…

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: a) Differentiate implicitly to find for the equation x cos y = x2 y2 +1 dx %3D b) Find the equation…

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Q: Find the differential of each function. (a) y = tan 3t dy =

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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: ) R(y) = S, t³ sin t dt

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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: d et? dt dx

A: Given: ddx∫xx2et2dt