- If x=sect and y = tan t, evaluate at t of the following: 4. dy (a) dx d y (b) dx?

Q: dy If y = sin='(cos x) then dx ||

A:

Q: dy Find for y = tan-(3z) de Ans=

A: A detailed solution is given below.

Q: d²y If y=cos 4xr, then at x = 0 dx?

A: Given,     y=cos4x

Q: 14. Determine dy/dx if y is a function of x defined implicitly by sin(x? + 2y)

A:

Q: Q22. If y=tan x+ tan dy is: -then dx 2 (d) 1+x (a) 0 (b) 1

A: Given function is                                          y=tan-1x+tan-11x we have to find…

Q: (c) Given tanh (x) + tanh (y) = 1, show that, dy 1- y? dx 1- x2

A:

Q: 1 |+tan¬(x), then x2 dy If y=cot-= dx

A:

Q: dy If dx = COS s 2x, then what is y?

A: The derivative is given by dydx = cos2x                         ........(1)

Q: F ind So S. eu dy dx.

A: Use the concept of reversing the order of integration. While integrating with respect to one…

Q: If z = x?y + 3xy, where x = sin 2t and y = cos t, find dzidt when t = 0.

A:

Q: If Xy +y.1 find the value of dy dx 2 5- at the point Co,-1)

A:

Q: Find dy/dz in terms of e and y if arctan(x®y) = ry°. ||

A: See the details solution in below

Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

Q: Given that y = sin (t) and x cos²(4t*), hence find dx dy

A:

Q: H 2= x? tan y/ at (lo1) %3D Ex by

A:

Q: Find dy if g-s(tant). and t= CostX)

A: Given functions,  y = sin (tan t) t = cos (x) the derivative to find is, dydx = dydtdxdt

Q: O Evalmate the impaper mitegral on e Show that it DE VERGES dx x In? (x) 2. tan (x) dx

A:

Q: If u = tan -1 x- the value of x2 +y?+xy du at x = 1 and y = 3 is

A:

Q: Given the following DE (cos 2y – 3x?y?)dx + (cos 2y – 2x sin 2y – 2xy)dy = 0 -

A:

Q: Q1-If x= cot- VE, y =, find d²y dx' dx2 at t = 2.

A:

Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: dy Find ax for the following function. y = x cos x sin x dy dx

A:

Q: (4) Evaluate sin(yz)dr+xz cos(yz)dy+ry cos(yz)dz, where C is any curve joining the point (0, 0,0) to…

A:

Q: 2 dy Is y = sin t, a solution to = 1 – y? Justify-

A: We will prove the given statement.

Q: dy If y= sin(sin x), then dx o cos x cos(sin x) o cos(sin x) O cos 3x cos-(sin x)

A: Solve the following

Q: dy of the following function: dx Question: Find xey cosh (xy)

A: Explanation of the answer is as follows

Q: dy 1- Which one is correct ? The Y of ex?tanx a) (x2 sec?x tanx + 2x tanx) b) (x² sec?x + 2x…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Given tanh(x)+ tanh ¯' (y) = 1, show that, 1- y? 1 – x² dy dx

A: Formula,ddxtanh-1x=11-x2Note- Since multiple questions are asked, I am answering the first question…

Q: If x = t +cos t, y= sin t, find d^2/dx^2

A: Given that      x=t+cost , y=sint  Here we have to find d2y/dx2 .

Q: Given that x cos y + y cos x = 1, find dy/dx.

A: Given that, xcosy+ycosx=1. The objective is to find the implicit differentiation of xcosy+ycosx=1…

Q: dy 2y 4. If tan(xy) +5= xy then show that dx?

A: tan(xy)+5 =xy Show that

Q: Ex S SeeX dy tan'y ttanx tl d X

A:

Q: Let y= Sin x + 2 (05 X ) Ivaluate y, y'sy" and y'" at 4

A:

Q: Find for y = tan(x) dy dz2

A:

Q: Q3: dy\dx off(x)= tan x cot x is

A: Given,    f(x) = tan(x) cot(x)         = 1   As we know, inverse of tan(x) is cot(x).

Q: if y=tan u, u=v -1/v and v=ln x, what is the value of dy/dx at x=e

A: We have to find dy/dx .

Q: 1- find dy/dx as a function of x. y = sec (tan x)

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: dy is: If y = tan(47x²) then dx

A:

Q: If a = 5+ti and y = 3t - t then dy at t = 1 dz is :

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

Q: Q1-If x= cot- VE, y =, find 2 dy dy dx'dx at t = 2. t+1

A:

Q: given dy=x+coS X find yuhere y( -1.

A: Using variable separable.

Q: If x = 2 sin* t and y = 3 cos* t, then find dy at t = %3D dx 4 а. 1.5 b. -2.5 с. -1.5 d. 2.5

A: Solution:

Q: If x = 3 sin* t and y = 2 cos" t , then find dy at t = dx 4

A:

Q: If Z= x^3+y^4+(x sin y)+ (y cos x), Find Zxx? Zyy?

A: Partial derivative of a function of two or more variables with respect to one variable is the…

Q: (c) Given tanh (x)+ tanh¯'(y) =1, show that, dy 1- y? dx 1- x2

A: The given function is: tanh-1(x)+tanh-1(y)=1

Q: 2²y ds, C:x = cos t, y = sin t, z = t, 0 < t < a/2

A: