dy for the given functions. dx Q.10 Find 1. y = Vx' - 12x + 5 2. y = In(cosecx) Page 6 of 12 3.tan-'(e²") (2x +1 4.tan-! 2x

Q: dy Q1: Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y cosh-¹ sin 2x -1 3- y = asinh…

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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: 2. Consider y = cos(2x). 2.1. Find Y dx 2.2. Determine an equation for the tangent line at x 0.

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (- 0.01) xe…

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Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: B. By miscellaneous substitution (VE+1)dx dx 1. S 2. S: 3 cos x+2 sin x-5 XA +

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Q: 1 (5* )csch dy if Find dx 1. (а) y x>0. (ecosh 5x ) In Vx +1 d Show that for x 2 1, coshx- dx (cosh²…

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Q: Q1: A. Find of four of the following: dx 1. y = x sin-1 x +v1– x² 2. y = (x2 + 2x) tanh(x + 1) 3. y…

A: See the details solution in below

Q: 4 the second order For the function y = 4 e" - - d'y is derivative dx? 4e + 8x-3 O 4e" + 4x-2 -3 O…

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Q: dy Q3) Find dx y = (cosx)v2 y = 3tanx In3 2 - e = ylnx 4 - y = cot-1! 1- 3 - + tan-1x 5 - y = =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: π Q3/ Evaluate Sosyx siny dx dy 0 0

A: Consider the given integral, I=∫0π∫0cosyxsinydxdy perform the integration,…

Q: Q5: Find dx for the following functions: (1) xcinh 2x coch 2x (3) y = e* sin² x In√x

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Q: dy 3. (a) If y=x'sinh (1/x)+ In(tanh 2x), find dx

A: Given function is y=x3sinh−11x+lntanh2x. We have to find the dydx. Used formula, ddxsinh−1x=1x2+1…

Q: 7. (a) Find dy/dx, when x a(1 + cos 0), y = a (e + sin 0). (b) Differentiate xCOsx w. r. t. (cosx)*.

A: Proceed as shown below...

Q: dy 3. (a) If y=x'sinh '(1/x)+ In(tanh 2x), find dx

A: Given: y=x3sinh-11x+lntanh2x

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: 1. Find dy for the following functions : dx Vsin x.cos x 1+2.ln x 3y (ans.: coi x 2 tan x -)) x(1+2…

A: To solve given differentiation easily we take logarithm on both sides and then differentiate it.

Q: 2. Evaluate dy and Ay if x = 1 and dx = Ax = 1. 3. Find the equation of the tangent line at x = 1.

A: Your question contain only two which i have solved completely.

Q: dy 4) Find dx when y² – x² + cos(x + y) = 0

A: As we know that the derivative of : ddx(xn)=nxn-1 ddx(cos(x))=-sin(x) ddx(f(g(x)))=f'(g(x))g'(x)

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y =…

A: Given y=lnex+e-x To find y'':

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

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

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Q: Q2 find the derivative of the following: 1) y = 2sin?(5x) ,2) y = lnx'ncosh 5x ,3) xsin-14y = y…

A: See the attachment

Q: Q1: Find 1) e (3 + e6t)2 2) l {e-3t(t + 1)²} t } 3) e- sin 3x dx dt 0,

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Q: 1. y = √2x +7 2. y = √7+√√3x + 1 3. y Arctan√1-x²

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Q: Find the differential dy of the given functions . (Use "dx" for dx.) a) y = 2x − (sin(x))2 b)…

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

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Q: II. Find dy/dx of the following functions: 4. ytan (tanh.x) 5. y=e³x sechx 6. y = √sech5x

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 4. y =…

A: 4 y = xcosx now fist derivative y' = x(cosx-1)cosx(-sinx) y' = (-1/2)sin2x x(cosx-1) now again…

Q: dy Q2. Find dx of y = 4x/x + vx at x = 1? Q3. A particle moved according to the relation (S = sin 2t…

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

Q: 04: Find dy/dx for the following function: (1) y=sinh-1(tanx)

A: Given problem:- y=sinh-1(tanx)  Find dy/dx

Q: 1. Find dx dy for the following functions: 1) y = (x- 3)(1- x) (ans.:4 - 2x) b (ans. :-,) x* 2) y=…

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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: 3) Find dy given 3xy = In x. dx

A: Given  3xy=lnx To find dydx   implicit differentiation is used Both sides have to be differentiated…

Q: 6) S sech? (2x- 3) dx | ex-e-x 7) S ex+e-x 8) S(eax – e-ax) dx sinh x 9) S dx 1+cosh x 10) ſ csch? x…

A: Given

Q: 1. 2x'y² + 4yx² = 6. Find dy/dx at (1, 1) by i- %3D

A: Here we have, 2x3y2+4yx2=6 ................... (1)  Differentiate with respect to x

Q: 4- Find dy/dx for y = 3l(sin-(e-3x')1² dy 1(-6x) = 3(sin-(e-3*" )I* In3 2(sin¬1(e¬3x²) dx In3…

A: Given y=3sin-1e-3x22

Q: dx dy Suppose x and y are functions of a third variable t. If sin²(x)+cos²(y) =- and dt 1, what is…

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Q: 2. 2メ dy dx for y = Cos (ln x + e put lに

A: y = cos2(ln(x) + e2x)

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: Q2: Find dy/dx for the following functions:- (1) y = x³ Inx (2) y=√sinh √tan x (4) y=u=3x²-2 (3) 4x²…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

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: Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Given  data  xey+2z-cos(xy)+ey-ln2=4  ,  A(ln2,0) Also given  when x changes by (dx=0.01) and y…

Q: 04: Find dy/dx for the following function:: (Choose only four) (1) y = sinh1(tanx) (2) y = 7esv2x+3…

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

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Q: 1. Given dx [arccot u] = find the first derivative with respect to x of arccot v2x + 2. 1+u?

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Q: 4- Find dy/dx for y = 3[(sin-(e-3x*)1² dy 3(sin-(e-3*)1* In3 2(sin-'(e-3**) 1(-6x) %3D dx V1- e-6x2

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Q: 9. (siny - ysinxy)dx + (xcosy-xsinxy)dy 0

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: dx y of y = dy cos-1(ln (xy)) Find

A: We write cos-1 as acos for simplicity. The derivative is too complex. So, we take the help of an…

Q: 10. Find dy/dx of y= 1/ (tan-1 x)

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