dy Find if y = In|9 + x|. dx

Q: Find dy/dx in terms of t if x=te^t , y=6t+6e^t dy/dx=

A: Use Product rule of derivative and find the derivative of x with respect to "t".

Q: Find dy/dæ in terms of t if x =t – t°, y = 2+ 4t dy/dx =

A: The differentiation of parametric form of functions can be done by using the formula,

Q: dy Q2 Find dx of x = tan(y)?

A:

Q: Find dy/dx if  y=(x+1)x

A:

Q: find dy/dx if y=xcosx+x2sinx

A:

Q: dy Find given 3xy = In x. %3D dx

A:

Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.

Q: dy y = In 1-х2 dx 1+ x2

A: To find: The derivative of y=ln1-x21+x2. Concept used: Chain rule of derivative: fgx'=f'gx·g'x The…

Q: dy Let y = f(x) such that In(x – y) = 2x – y + e². Find dx

A:

Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+ x² + y²)²

A:

Q: Find dy/dæ in terms of æ and y if æ°y – x – 2y – 1 = 0. dy dx

A: We have to find dydx in terms of x and y if x3y-x-2y-1=0.

Q: Find dy/dx in following. )y=x' costx + xsin?x -2

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find dy/dx for the fo d) x' + x.tan y = y -1

A: There are multiple question, As per our company policy ask other question separately. d.

Q: Let y = x2. Find dy when x = 1 and dx = 0.01. Compare this value with ∆y for   x = 1 and ∆x = 0.01.

A:

Q: Find dy/dx for the following xVx² In y = In + 1 2 (x + 1) 3

A:

Q: If x = 2t2 +t+1 and y=8t3+3t? + 2 then dy at t = 1 is dx

A:

Q: Find dy/dx and d2y/dx2 of x= t + 1/t, y= t + 1

A:

Q: x- 1 (i) y = () y = Vx(Vx+1) x + 1

A:

Q: Use the attached equation to find  dy/dx for this: 5tan−1(x2y) = x + xy2

A: Given, 5tan−1(x2y) = x + xy2

Q: dy Q3) If y = In[sec 0 + tan 0) find- dx

A: To find dy/d(theta)

Q: Find dy if x=t+6f and y= dx 2 5 at t=1 +

A: We have to find dy/dx

Q: Find dy/dx in terms of t if x = te', y = 4t + 4e* dy/dx =

A:

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

A:

Q: Find Dy/Dx given that y= x1-x

A: Given that y=x1-xwe have to find dydx

Q: Find the dy/dx given that y = (sin x)x

A: The given value of y is, y = (sin x)x

Q: If y = In(2x+3) , then find dy at x = 0. dx

A:

Q: Find dy/dx for each of the following by using the rule (elnx=x) and rewriting them.  y=3sinx

A: y = 3Sin xy = eIn 3Sin xy = eSin x In 3

Q: dy if y = vt' -e' and x = dx Determine In(6t)

A: dy/dx = [7/2 t^5/2 - e^t] [ln(6t)]^2/ t^2 [3ln (6t) -1]

Q: compute dy/dx for the following function:  y= tan(x2y)= xy3

A: We have to find dy/dx of a curve implicitly.Curve equation is given below:

Q: dy If y = (In x) (sin x), then dx

A: y=ln x(sin x) To find dydx

Q: dy for y=In (x² +1}+ (sin x +5)*. Find dx

A:

Q: Find the G.S.of the DE. (ytu dy=D0

A:

Q: Find dy of the following functions or relations. dx а) In y" = x² – 4y°

A: Given :…

Q: 1 dx is finite -1 X Select one: True False

A: True

Q: Find d when y = 3 In(In(In(x))) dy dx

A: Here we can find the derivative as below

Q: Find de when y = In(1+ 5/æ) dx

A: The objective is to find derivative.

Q: dy (a) Find if y = (In x)=². dx

A: For (a), dydx=lnxx2'       =ex2lnlnx'        =ex2lnlnxx2lnlnx'        =ex2lnlnx2xlnlnx+xlnx…

Q: dy Find for x=secy dx A xsinx B D 1-x?

A:

Q: dy If y=t+t and x= 5t+7 then at x = 17 is: dx

A:

Q: Find dy/dx, given that xy^3 -3y^2 +xy=1-3x

A: The main objective to calculate the derivative of the function xy3-3y2+xy=1-3x.

Q: | Find dy/dx if y = e*+x).

A: Given,          y=ex+x2

Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²

A:

Q: 1. y = In (12x)

A:

Q: Q2. Find of y = 4x/x + V at x = 1? dx

A:

Q: Find the function y = f(x) satisfying the following: If) dy sin(2x) + 3 andf(÷) = 1 dx

A: Find the function y=fx satisfying dydx=sin2x+3  and  fπ2=1.

Q: Let y=(x2+1)2e2x. Find dy/dx.

A: The given function is,

Q: dy when x=Ve is dx

A:

Q: dy If y = e" In(u) and u = V1-x2, Find dx

A: y = eu ln(u)       and   u = 1-x2 dydx = ?