By using Cramer's rule, at initial point you calculated in part (a) find the l derivative of yı with respect to x1 and x2. V. with respect to r, and r

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: Determine the equation of the tangent line to the graph of g(x) =| [1- sin(re')] dt at the In z…

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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 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: 3. Find the derivative of g(z) = V9- using the definition of derivative.

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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: 4 1日4)+e dy=

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Q: find the derivative of y with respect to the appropriatevariable. = sin-1 (1 - t)

A: Given Trigonometric Expression: sin-11-t We can differentiate this trigonometric function with the…

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

A: Given that  y=∫-9xcos tt12dt

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: Calculate the derivative 10z d dz In (t)dt using Part 2 of the Fundamental Theorem of Calculus.

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Q: what is the derivative of arctan(u/1+4u)

A: To determine the first order derivative of the provided function.

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

A: Find the derivative of the function

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

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Q: Evaluate the derivative of a mq4.5.png cos (bvx ³) f(x) = a ln sin(cx²) if a = 107, b = 0.5, and c =…

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Q: Find the derivative dydx of the cardioid given by the equation r=f(θ)=a(1+cosθ).

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Q: V 92) Inl Cosn

A: Derivative of hyperbolic function

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

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Q: · f(x) = sin(In r²) %3D

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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: find the second derivative with respect of ds s+a

A: Please see the solution below.

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. G(x) =…

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Q: Compute the derivative of h(sin x) at x = , assuming that h' (0.5) = 10.

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Q: d rcos t sin(x²) dx dt

A: Given,            ddt∫1cos t sinx2 dx

Q: Find the derivative using the long method 3 u = t2

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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 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: 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 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: 11a d dz In (t)dt

A: To find: ddx∫x4e11xlntdt

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. 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 = [ sin (t*) dt F(z)

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

A: Given :y = ∫-4xcostt8dt

Q: Prove, by Showing all steps i that the 1. derivative of arcos x is 1-メ

A: Derivative of arccosx is -1/√(1-x2)

Q: Find an equation of the tangent line to the graph of {(=) = [. t cosh (t² – 1) dt f(x) /1+ln (x)…

A: First I have written the rule of derivative of an integral to find the slope of tangent line for…

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: 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: Compute the derivative of h(sin(x)) at æ = 1/6, assuming h'(0.5) 4: %3D

A: As we know that; The Chain Rule: fgx'=f'gx·g'x Let, hfx=hsinx

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