dy If y = sin-(e*), then dxlx=ln( (a)v8 (b) cos™*() (c)- T3 (d) ;

Q: finf dy/dx by implicit differentiation when x^2=(3x+6y)/(3x-6y).

A: The given function is: x2=3x+6y3x-6y

Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function                   y=ez sin x + ln x (arcsin z)  With…

Q: What is the rate of change of y = ln x at x = 10?

A: To find the rate of change we have to find dy/dx

Q: Find the derivative of the function y = ln(tanh x/2)

A:

Q: Find dy/dx by implicit differentiation.

A: To find: The derivative of x3y-xy3=4. Concept used: Chain rule of derivative: fgx'=f'gx·fgx Product…

Q: Find Dxy for y = sinh-'(x5)

A:

Q: d sinh x) = cosh x dx

A: By using hyperbolic functions definition, sinhx =ex-e-x2   and coshx =ex+e-x2

Q: dx/dt of -ln(-cos t)-e^(sin t)

A:

Q: Sinh) esechct) dy

A:

Q: Find dy/dx by implicit differentiation. x2y3 - 12xy2 = 11

A: Implicit Differentiation Method: 1. By taking d/dx on both sides of equation. 2. Then solve For y'.

Q: find dy / dx by implicit differentiation.

A:

Q: tanx dx = -In/secx|+C^O .BO In|secx|+CO In/cscx| +CO -In|cscx|+C°O .D

A: We need to evaluate the following integral I = ∫tanxdx

Q: sinh (:) dz dy dx

A:

Q: Find one anti derivative of (x+1)^2 and then find  integral(x+1)^2 dx.

A:

Q: Find dy/dx by implicit differentiation. x3 − 3x2y + 2xy2 = 12

A: Given: x3-3x2y+2xy2=12 for finding dydx we differentiate given expression

Q: Find dy/dx by implicit differentiation. tan−1(4x2y) = x + 5xy2

A: Given,

Q: Find dy/dx by implicit differentiation. x²y³ -yax dy/dx =

A:

Q: Find dy/dx by implicit differentiation. 8x3 + 9y3 = 66 dy/dx =

A:

Q: Find dy/dx by implicit differentiation. x4y6 - 24xy4 = 22

A:

Q: 7 dy if Use implicit differentiation to find 8. dx dy dx +

A:

Q: 5. Find where y = In(cosh(2x)) + /sinh-1(2x) + tanh² (7x). dy dx

A:

Q: Find dy/dx by implicit differentiation. x2y3 − 12xy2 = 6

A: To determine the implicit derivative.

Q: Find dy/dx by implicit differentiation. x3 + 7x + 3xy - y5 = 25

A:

Q: Find dy/dx by implicit differentiation. 2x? - 5y2 = dy/dx

A:

Q: 6) Calculate - dx for z = ln(x + y²).

A:

Q: D/Dx (cosx)^x  slope of tangent function (cosx)^x at x=π/4

A: Given:- y = (cos(x))x To find:- Slope of tangent at x=π/4

Q: Find dy/dx by implicit differentiation. 5x3 + x2y − xy3 = 2

A:

Q: Differentiate the following function.   y=ln(x+1)+ln7 dy/dx=?

A:

Q: Find the derivative dy/dx by implicit differentiation: x2+y2-2xy3=7 Show all intermediate steps

A:

Q: What is the derivative of: y = x ln cos x

A: The given function is   y = x ln cos x

Q: find derivative  1. y = ln (3ue^-u)    2. y = ln (2e-^t sin t)  3. y = e^sin t (ln t2 + 1)

A: find derivative

Q: Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3. Tangent Line: y =

A: We have to find the slope of tangent at first.

Q: If fex, yJ-o find dy /af partial derivative off dx

A:

Q: dy * Find dx ソ= sint sx-cost

A:

Q: Find  dy dx  by implicit differentiation. x2y3 − 12xy2 = 4

A: The given expression is, x2y3-12xy2=4 Differentiate on both sides with respect to x of the…

Q: Find dy/dx by implicit differentiation. 5y sin(x2) = 9x sin(y2)

A: Given :  5y sin (x2) = 9x sin (y2)

Q: Find (dy/dx) if y²-x?- sinxy =0

A:

Q: Find dy/dx by implicit differentiation   4Sin (x2) =x Sin (y2)

A:

Q: dy Use implicit differentiation to find dx '+x² - y² = 10

A: Given; e^(xy)+x^2-y^2=10 We have to find dy/dx

Q: Use long derivative (dy/dx) y = cos x

A:

Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: Find dy/dx at (-4,1) if xy=(8y/(x+2)). dy/dx at (-4,1) =?

A: Derivative of any function determines the rate of change of a function. It is represented as dydx if…

Q: dy Use implicit differentiation to find if æ + 4xy+ y² = 2. dx

A: The solution is:

Q: how do i implicitly differentiate (solve for dy/dx) where: xy = tan(xy)?

A:

Q: Find dy/dx by implicit differentiation. 2x2 - 2y? = dy/dx =

A: We can get dy/dx by differentiating both sides w.r.t x. The solution is explained in step 2.

Q: Find dy/dx by implicit differentiation. 5x^(3)+x^(2)y-xy^(3)=-8 dy/dx=?

A: We are given an implicit equation as