Find y’ if y = Arc cos (sin 4x).

Q: Find the first derivative of  y = (x – 1) √ (2x – x2)   + arcsin (x – 1), and y = arctan [ (3 sin x)…

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Q: Find dy/dx  if  4 cosx siny = 1

A: We will directly differentiate it.

Q: If Sin-'x= Iny, show %3D ( l-xx) day - dx d X 2 x dy =y

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Q: If y=(sin3x-cos3x)², find dy dx

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Q: if u:X- COSX and V=X+ Cosx find the derivative du

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Q: 1) [(sinh 2x + cosh2x)° dx

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Q: solve for dy/dx :  arcsin (x/y) + arccos(y/x) = 5

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Q: Find the coordinates of the point on the graph of y = 8 sin x+4 cos (2x) + 14, 0 <x<5, where the…

A: Consider the given function, y=8sinx+4cos2x+14 The slope of the tangent line on the given curve will…

Q: Find dy/dx if y=(4/cosx)+(1/tanx)

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Q: S cos*x sinx dx

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Q: What is the derivative of: y = arcsin(cos x2)

A: Our Aim is to calculate the derivative of y=sin-1cos x2-(i)

Q: x/2 | (cos(x) + sin(2x)) dx of

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Q: Bind dy, 4. Ssinx.cosx sinx-coSX 1 +2.Ln X

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Q: Solve for the derivative Arc sin + Arc cos =0 y y

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Q: Find the derivatives of the functions in Exercis

A: Chain Rule: f(g(x))'=f'(g(x))g'(x) Differentiation formulae: ddxsinx=cosxddxcosx=-sinxddxax=a

Q: sinh (:) dz dy dx

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Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: I need to find the derivative of the function f(x) = cos-1(ln(sin(3x+1))) but I am unsure how to…

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Q: Evaluate: S Arctan 2 sin²x dx . Arctan 1 cos+x

A: Given,  ∫Arctan1Arctan2sin2xcos4xdx

Q: if u=X- CoSX and V=X+ CosX find the derivative du

A: We have to use properties of derivative.

Q: find dy/dx (sin2x)x

A: Explanation of the answer is as follows

Q: if y=tanx=sinx/cosx then find dy/dx

A: Given,

Q: compute the derivative. y = 4 cos(2 − 3x)

A: We know that, ddxcosx=-sinx. Chain rule states that, ddx(f(g(x))=f'(g(x))×g'(x).

Q: find dy/dx if y = (sin-1 x)2

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Q: find dy / dx for Hhe tellowing in (sec EX) In (cosp?}

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Q: Find dyydx by implicit differentiation. 1 + x = sin(xy2)

A: In implicit differentiation we differentiate the terms in LHS and RHS and then re-arrange the terms…

Q: please solve determine dy/dx if xy = ecsch(xy)+πcos(0)

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Q: Find , if y = x sinh x - cosh x %3D dx

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Q: Find the derivative Y = 2e* arcsin x² Y = arccos (6x°-2x)

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Q: Va2-x² Y=Arc sin + а

A: Differentiate wrt x

Q: Find cosh æ In(sinh x)dx.

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Q: Find:  ∫cosh^4 (x) sinh^5 (x) dx.

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Q: Use implicit differentiation to find dy/dx:

A: Differentiate both sides with respect to x Use power rule and chain rule to differentiate

Q: If y = (sin-' x)², show that (1 – 2*) dy dr? dy 2. dx

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Q: Find the slope of the tangent line to the sine function at the origin. y 2 y=sin -1 Compare these…

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Q: show that d/dx arctan (tanhx) = sech (2x)

A: On differentiation, we get

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 1. y = Arcsin(- Vx²+4

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Q: Find at the point (1,0) for cos xy + ye* = 0. dx

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Q: Find (dy/dx) if y²-x?- sinxy =0

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Q: Va2-x² Y=Arc sin- + а

A: Solution-

Q: what is the derivative to y=sin 2t - 2 cos 2t

A: The given function is y = sin2t – 2cos2t.Find the derivative of the function as follows.

Q: Integrate: cos Gx) – sinh(2x)]g

A: As per our guidelines only one question can be answered.Please repost the next part in next…

Q: Find dx if 2 siny dy 3 Log (y1)

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Q: 4) S tanx dx cosxv1+secx 5) S(1- u)Vūdu

A: (4)  First we integrate this ∫tanxcosx1+secxdx

Q: Find dy/dx by implicit differentiation. (cos TX + sin ny)° = 24 dy/dx =||

A: Our objective is to find out the derivative of the implicit function.

Q: S cos(2x + 1) sin(3 – 4x)dx

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Q: 2. Calculate the derivative of y = arccos(e arcsin(x2)

A: Let u=arcacos(e^x) and v=arcsin(x^2), then y=u/v

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Se Sin (3x) dx by Improper htegrations.

A: use improper integral