4 The range of y =sinx for 7SXS is 2 0syso 4

Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x 2) y = 32x + In (sin x²) + In(sin-1 5x)…

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Q: dy B) Find for all the following dx 1) y = sin-13x 2) y = In(5x) 3) y = Vtanhx

A: Solution: As per our guideline we are supposed to answer only first three question please repost…

Q: Q1/ Integrate the following functions 1. ſ csc(5x) dx 2. dx 3. ſ cos (x) dx 4. S sin (x) dx 5.…

A: As per our guidelines we are supposed to answer?️ only 3 question. Kindly repost other question as…

Q: dy Q5: Find for the following functions: (3) y = ex.sin² x In√x

A: We can solve this as follows:

Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: Q1\| Integrate SIX of the following functions: sinh(lnx)dx 1) 3) | sin?(2x).cos(3x) dx 2) ex. sinxdx

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Q: 4 Find dx for y = - +7 sin x. X

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Q: 2*csch( 2*) d x cosh(2*)-sinh(2*)

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Q: for 0sxs 10 for r> 10 sin(x) for 0srs2x for x> 2x

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Q: Q1|| Integrate SIX of the following functions: sinh(Inx)dx 1) 3) f 2) | ex.sinxdx sin (2x).cos(3x)…

A: As per bartleby guidelines we only give first three questions answers.

Q: 2. Find the derivative (dy/dx) of the following functions: n) y = 1- cos 3x sin 2x + sin 8x tan 4x

A: 2) n) It is required to find the derivative of the function y=1-cos3xsin2x+sin8xtan4x.

Q: O Find the derivative of the g f X COsy = ya sinx followny %3D 4) (2x+3y)"= e" tany %3D () sin xty)…

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Q: dy b) Find If tan2²(2y) – S cost dt = 4 – x2 - dx

A: We find the dy/dx by Leibniz rule.

Q: Find d^2y/dx^2  Sinx+cosy=1

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Q: 2 sin x f(x) = 1+2cos x Pvaluated at x = 1 ran

A: Given: fx=2sinx1+2cosx

Q: Q5: Find dx (1) In(x - y) = xy + y² : (4) y = x sinh 2x-cosh 2x for the following functions: (2) y =…

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Q: 33 2Vx- f(x) = T sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x (1–3t)5(t³-8) alt) t # 2

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Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In () (Inx)2+ (In Vx)3 3* 2) y = tan-1 (x*)

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Q: dx. J x² + 2x + 5 x+1 11 arctan x+1 11 ;+ 2x – In [/r² + 2x + S- *+ 2x + In Vx? + 2x +5+, arctan 2 2…

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Q: 8. y = In(2e-t sin t)

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Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

Q: dy Find for dx 3) y = In(vx2 + 1+x) sin¯1x X.

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Q: Q4: To evaluate the integral cos x dx using the reduction formula of cosine function

A: We know that reduction formula for  ∫cosndx=1ncosn-1(x)sin(x)+n-1n∫cosn-2(x)dx Now we will solve…

Q: 2. Find an expression for dy/dx on the curve x In(y) + x³ – 2y = 6.

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Q: Find sinh + C sech V5 + C sinh () + C X. Cosh 5 O -1 csch--

A: Integral of the given function is -

Q: Q! O show th at [x sin'x + V1-x²] = sin'x sin x

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Q: 2. Find the length of the curve: y = 2 In (sin (x)):sxS*

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Q: Q5: Find for the following functions: (4) y = x sinh 2x-cosh 2x (2) y = tan³√cot(7x) ; (3) y = sin²…

A: Sol:- (2) ddxtan3cot7x Apply the chain rule =3tancot7x2ddxtancot7x

Q: 12. Find frxyz for f (x, y, z) = sin (3x + yz)

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Q: What is the derivative of y = 10sin 5x 5 In 10 cos x 10in 5x 5 In10 (10sin Sx) A. C. 5 cos x In 10…

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Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In ( 1 + (Inx)2 + (In vx) 3 3x 2) y = tan-1…

A: Use formula of derivative  to solve

Q: Q1) find dy/dx 1) F(x) = sin’2x tan x² x – 3 ) 2) F(x) = sin( x +4

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Q: find dy dx ² +F y = 3 casch + Cosa 3 and x = Sin²³ o

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Q: dy dx (1) In(x - y) = xy + y³; (4) y = x sinh 2x -cosh 2x Q5: Find for the following functions: (2)…

A: Note: As per guidelines of bartleby we can solve maximum 3 subparts of a problem. Please upload…

Q: Chose only two: dy 1. Find for y + In x2 y2 -cos 2x* = 27 dx 2x+1 2. Evaluate: f dx -4

A: We use chain rule and product rule while differentiating the given equation.  Also for integration,…

Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In A + (In V) (Inx)2 2) y = tan (x*)

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Q: 1. So dx 2. 3. x² (x+1)4 fxcos2xdx 4. TL TT TT Sễ sin²4ycos²2ydy sin*xcosxdx

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Q: The area between y = 2.sinx and y = sin2x for 0<x <T is 1 None 4

A: To find- area

Q: Q1) Is frgof bounded variation texplain your auswer) x* Sin Sint %3D X =0

A: Ansa; According to the given function. Claim f is differential on x=0 Left Hand Derivative.

Q: 2 sin x f(x) = 1+2cosx 5. Pvaluated at x = 1 rad

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Q: y=sin-1x

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Q: (a) Find thẻ đéřivătivė. rivative. 1 y = In(x2 – 6) 3 dy dx (b) Find the derivative. 3 = INVX2 – 6…

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Q: Find the derivative of the function. y = 6 In sin 22x O A. 24 sin 2x OB. 12 In sin 2x C. 24 cot 2x O…

A: We can find the derivative on the given function by using the chain  rule of differentiation.

Q: What is derivative d(y)/d(x) of "xsin(1/y^e)=(1-xy²)^½

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…

Q: Suppose that the tangent line to the graph of y = f(x) at x = 2 is y = 4x – 3 and that the tangent…

A: The given tangent line to the graph of y=fx at x=2 is y=4x-3 and the another given tangent line to…

Q: 7 Show that: sech x dx = Sin¹ (tankx) + ( S note: * & Sim'u = dx 1-U² dx Cam multiply sechx by * you…

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Q: find dy/dx x'. tan'x (3 – 2x)/x 14 (ans.:2y(+ 1 2 28) y =- 3x ' (1+x²).tan¬x 3—2х

A: Explanation of the solution is given below...

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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