lim sin (IL) TT EMs Find f'(XJ where et dt |13int X.

Q: Let y = tan(2x + 2). Find the differential dy when z = 5 and dr = 0.2 Find the differential dy when…

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Q: \S(cos x)dx = 0 %3D

A: Let us consider f is continuous even function. Let f=x2 So, fcosx=cosx2=cos2x…

Q: Let y = tan(4x + 6). Find the differential dy when x = 3 and dx 0.1 %3D Find the differential dy…

A: Explanation is given below...

Q: Find the total differential. z = e-X tan(y)

A: Given, fx=z=e-xtany To find fx=z

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: dy sin(x) for y = 1-cos(x) dx 1- Find 2- Find the integral " sin(x)cos°(x)dx

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Q: sen z + cos x dz | (tag z + 1) dx = In sec x+z + C 37. %3D cos 2

A: 37.   Given integral, ∫sen x+ cos xcos xdx

Q: Find dy/dx by implicit differentiation. xey = cos(x2 + y2) + sin(xy)

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Q: Let y tan 1)2x then dy/dx at x-1 is

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Q: dy using implicit differentiation. dx Calculate sin (y) + 8 = x dy %3D dx

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Q: Find dy/dx by implicit differentiation. sin(xy) = cos(x + y)

A: Given: sinxy=cosx+y Differentiate both side:…

Q: Evaluate the definite integral: r1 arctan x dx = x2 +1 0.

A: To solve the integral first I have make a substitution so that integral become easy and the solved…

Q: 1+ x 1 then find dy when – 1<<1. dx If y = tan

A: We will find out the required value.

Q: Find fy ) for (x,y) Cos (x) sincy) exy

A: Given query is to find the partial derivative of the expression with respect to y.

Q: Find the tangent line to the curve x cos y + y cos x = 1 at (0,1). O A. (cos 1)æ + y = 1 O B. x + y…

A: We can find the tangent line as below

Q: SS()dt =x arctan x

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Q: Find dy/dx by implicit differentiation. 6sin x + cos y = sin x cos y

A: Given,            6 sin(x) + cos(y) = sin(x) cos(y)

Q: sin x dy Given: y = Compute for dx 1-2 cos x

A: The given function is y=sin x1-2 cos x

Q: th of the curve y= ln(sin x) from x = 0 to x=.

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Q: dy Find f(x)3D3 cos x cotx

A: Given, fx = 3 cosx cotx   We have to find dydx

Q: nd the points at which f(x) = cos² x has a horizontal tangent line. %3D

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Q: dy Use implicit differentiation to find dx 2 cos (xy) 7x+3y dx

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Q: sinx D.a) Find if mx Vt + 5 dt + siny = x-x²cosy

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Find the derivative of y with respect to x. y = In (tan -1(2x4)) dy %3D dx

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Q: Evaluate sin(x) · In ( cos(x)) dx using integration by parts.

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Q: S2ta J 2tan x In (cos x) dx=

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Q: S tan ax secex dx 3

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Q: dy Find at x=0: dx y = (In(cos "x*) -1 COS sinh x %3D

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Q: Find dy Ldx For the following (Jy)' =(In tan x)(x") ( sin x)"

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Q: cos(2y - x) = 3ysin x

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Q: if z=tan-1 (y/x) where x=lnt and y=et . Find (dz/dt)

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Q: Integrate integral sin (t) cos (2t) dt

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Q: cos(xt) cos (sin(at)) dt D. tan x dx =

A: The question is taken from the calculus in which we have to find the value of the given integral, We…

Q: Let y = tan(3x + 8). Find the differential dy when x 5 and dx = 0.4 %3D Find the differential dy…

A: First differentiate then put the values

Q: Prove dx dx 1 f ( sec -x+tan –I 2 1 | f (cosecz) %3D Vsin r sin x

A: Apply trigonometric properties to prove the result.

Q: dy Use implicit differentiation to find dx x sin (5x + 6y) =y cos x

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Q: Siny dx t sin Zydy + x dy

A: To solve: sin⁡ydx+sin2⁡ydy+xdy=0…

Q: (4xy) w = 3 sin (4xy tan (z) +4 In (5yz)- 8 e

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Q: Find a positive value for the constant "u" that makes tan Sur x<0 f(x) = continuous at x= 0. 2x +…

A: Given:               fx=tan5μxxx&lt;02x+2k3x≥0

Q: The linear approximation at x = 0 to sin(6x) is A + Bx where A is: Preview and where B is: Preview

A: First of all, consider the formula to find the linear approximation at any point a for function any…

Q: Find dy and simplify whenever possible. dx secx+tan x 1. у %3 sec x-tan x - 2. y = e-* cos e¯* – sin…

A: 1. y=secx+tanxsecx-tanx2. y=e-x cose-x-sine-x3. y=arctanx-1+x2

Q: S sin t dt 0. lim x→0 2 x4

A: Given,

Q: cos y sin x Let s(x.y) = x+0 %3D cos y Is continuous at (0, 0) ? f

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Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Test for homogeneity

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Q: Find dx and simplify whenever possible. 1-cosh x 1. у 3D 1+cosh x 2. y = x tanh¯x + In V1 – x²

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Q: (b) Evaluate the integral sec X dx J sec x- cosX

A: To evaluate the given integral

Q: Find dy/dx if y = In (tan(x).3$ec(x) + /sin (x³)

A: given,