Find dy/dx y=x^2+4x/2(3x^3+2)^4

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 dy / dx by implicit differentiation. xy + 5x + 5x2 = 2 dy / dx =

A: xy+5x+5x2=2

Q: d sinh x) = cosh x dx

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

Q: x sec2x dx (integration by Parts)

A: In this question, we need to find the integral of given function using integration by parts.

Q: et-x+l 2x –1 -dx by using substitution method. Integrate

A: First I have made a substitution and integral become easy and then solved . I have written all…

Q: Find the first four derivatives of y = 4sinx. %3D

A:

Q: 2. dy dx

A:

Q: Find dx at x--3 if y-5x-2 and Do NOT Round.

A:

Q: Calculate dy/dx Simplify y=3x-5/2x+4 dy/dx=

A: Solving by derivative we have

Q: Integrate Jo tan h x dx

A: Use substitution method for integrate

Q: Sinh) esechct) dy

A:

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

A: We have to find dy/dx by implicit differentiation.

Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: Find dy ду é^sinx in sx

A:

Q: Bind dy, 4. Ssinx.cosx sinx-coSX 1 +2.Ln X

A:

Q: 3 4-y y dx dy = 1 2y MIN

A:

Q: Find dy/dx by implicit differentiation 7ysin(x2)=9xsin(y2)

A: Find dy/dx for the implicit function

Q: Ssin x CosX dx 6x dx

A:

Q: Integrate sec√x dx ÷ √x

A: We have to Integrate : ∫secxxdx Let x=t⇒12xdx=dt⇒dx=2xdt=2t dt Now, ∫secxxdx=∫sec tt(2t dt)=∫2 sec t…

Q: Integrate  dy/dx sinx=1

A: We know, ddxcosec x = -cosec x·cot x ddxcot x=-cosec2x ddx(cosec x-cot x)=-cosec x·cot x + cosec2x…

Q: Find dy/dx by implicit differentiation at point (0, 0) if x³y³-y=x

A: Here, x3y3-y=x

Q: Integrate: x² cos(2x) dx

A:

Q: Calculate the derivative.

A:

Q: Find dy/dx by implicit differentiation. 6,,3 x°y - y = x dy/dx

A: On implicit differentiation we differentiate both sides of the equation with respect to x . Then we…

Q: Find dyydx by implicit differentiation. 1 + x = sin(xy2)

A: In implicit differentiation we differentiate the terms in LHS and RHS and then re-arrange the terms…

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

A:

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: 3xey + yex = 4   Find dy/dx by implicit differentiation

A: The given equation is 3xey+yex=4.  Find the derivative of the given equation. that is dydx Using…

Q: dx 2.

A:

Q: Find dy/dx by implicit differentiation. 2x3 + 3y3 = 64

A: Given: 2x3+3y3=64 for finding dydx, we differentiate given expression

Q: Find dy/dx y=(7x-1)tan(2x^2-x+9)

A:

Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: find dy/dx of x^5y-xy^5=1

A:

Q: Find dy/dx by implicit differentiation. 4x° + 9y3 - 62 dy/dx =

A: We use Implicit differentiation

Q: Integrate: S dx

A:

Q: Soru 1. (1+ 25)dx + 20* (1 - )dy = 0 ; -) dy = 0 ; + 2ey) dx y(0) = 1,

A: Given that:                           1+2exydx+2exy1-xydy=0    .........................(1)…

Q: ex dx

A:

Q: Find dy/dx by implicit differentiation at point (0,-2) if x^3-xy+y^2=4. O -2 -2/3 1/2 3/4

A: Implicit derivative at point

Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

A:

Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: Calculate Calculate 1 f (425 - / +6²-8) dz 4x - dx. X S 5² - -x³√x² + 3 dx 3 ln³ Calculate 41³ (2)…

A:

Q: solve for dy/dx

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

Q: Integrate: xー1 dx 2.

A:

Q: Differentiate the function. 1 y3= (2x +3) dy dx

A:

Q: {dy}/{dx} for y=4sin^{-1}(x^2)

A: The explanation of answer as follows

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 using implicit differentiation.  3x^2-4y^2+3y=5-2x

A: We have to find the derivative of the implicit function

Q: Find dy/dx by implicit differentiation. 3x2 + 5xy - y2 = 4 dy/dx =

A: Given; 3x^2+5xy-y^2=4 dy/dx=?