Find dy/dx by implicit differentiation. 6/(x^6) + 6/(y^6) = 14

Q: Use implicit differentiation to find dy/dx when

A: The given function is: xy=ex+y

Q: Question 7

A:

Q: Explain the method of proving the derivative (dy/dx) of sinh(x) and cosh(x) ?

A:

Q: Find the derivative of the function y = 2x sinh−1(2x) − √(1 + 4x2)

A:

Q: Find the derivatives of the functions in Exercis y = xe-x + ex3

A: y=xe-x+ex3

Q: Find the derivative. 2 - - dy dx - if y(x) = 1 x + 3 dy dx ||

A: This question is based on Chain rule diffrentiation. d/dx{f(x).g(x)} = g(x)d/dx{f(x)} +…

Q: find the derivative of y with respect to the givenindependent variable.

A:

Q: Use implicit differentiation to find dy/dx in x3 + y3 = 18xy

A: Given equation is Differentiating both sides with respect to x, we get

Q: calculate the derivative. y = sinh(x2)

A: we have to find the derivative  y = sinh(x2)

Q: When a term involving y is differentiated in implicit differentiation, it is multiplied by dy/dx.…

A: Derivative of a function implies the rate of change of that function.

Q: Find the derivatives of the functions y = ln (sec2 θ)

A:

Q: Find the equilibria of the differential eq

A:

Q: Find the anti-derivative: x2/3 dx. Upload Choose a File

A: Using simple integration method to solve the question.    Attached below is the detailed solution.

Q: derivative of y = arctan(x2+ 3)

A:

Q: 2. Use logarithmic differentiation to find first derivative of y (sinx)r

A: Formula used: ddx[u(x)v(x)]= u(x)v(x).ddx[ln(u(x)).v(x)] ddx(u.v) =dudx.v + udvdx

Q: calculate the derivative y = tanh(ex )

A:

Q: #11, find dy/dx by implicit differentiation

A: Differentiate question 11

Q: Find the derivative of y=sinh-17x

A: Given:y=sinh-17xHyperbolic Identity:cosh2x-sinh2x=1Differntiation formula:ddxsinx=cosx

Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: Use implicit differentiation to find dy/dx. x2 + 7xy + y2 = 0

A: Given function: x2+7xy+y2=0

Q: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: calculate the derivative. y = sinh(9x)

A: First of all, consider the formula for the chain rule and the given function y. Then assume u and v…

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the…

Q: 2.Find the derivative of y = In cosh x. %3D

A: Using chain rule of differentiation.

Q: Find the derivative of the function

A: Given:y=arctanx+x1+x2Differentiate formula:ddxarc tanx=11+x2ddxuv=vdudx-udvdxv2

Q: (1 point) Find dy/dx by implicit differentiation. x + y = 6 + x

A: Given: x+y=6+x2y2

Q: Calculate the derivative of y=arctan√ex at x=0.

A: We differentiate both sides with respect to x using the chain rule.

Q: Find the derivative of y given that y = In (sinh x) %3D

A:

Q: Calculate the derivative.

A:

Q: Find dy ldx by Tmplicit differentiation. tanLx-y)=

A:

Q: Find the derivative of fcx) = en (sinh Cx)) 5

A:

Q: Find the derivative of the function y = arctan x+ 1+x?

A: To find: The derivative of the function . Calculation: Find the derivative of the function.

Q: х3 + у3 %3D бху — 1, (2, 3)

A:

Q: Find the derivative. y = 7x ln(6x) dy dx

A:

Q: Find the second derivative if y = sinh- (n + x') at x = 0

A:

Q: 6. y = vx sin-'(x)

A: we havey=x sin-1(x)

Q: y = Vx* X

A:

Q: Requires Uploaded Supporting Analysis: Find dy/dx by implicit differentiation. y2 - 2x = 4y

A:

Q: Find the value of the derivative of the function y=sinx/3 at x=2π.

A: Here given as Differentiate the above function with respect to x

Q: find implicit derivative dy/dx of x2sin2(y)+2x2=y

A:

Q: 3. Find the derivative of: y = csch¬(In (sech(sec()))).

A: Note:Two questions submitted simultaneously, kindly upload question 2 separately.

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: Find the derivative of the function y = tanh−1(sin 2x)

A:

Q: Find the derivative of y with respect to x.   y= tan-1 *square root (16x2-1) +csc-1*4x ,   x greater…

A:

Q: What is the 2nd derivative of y=cosh(x+y)?

A:

Q: calculate the derivative y = sinh(ln x)

A:

Q: 2. Calculate the derivative of y = arccos(e arcsin(x2)

A: Let u=arcacos(e^x) and v=arcsin(x^2), then y=u/v

Q: y=

A:

Q: 33. Зе - х%3D 0, (3,0)

A: