The total derivative of f(x,y) = e2x +5y is df =

Q: Find the derivative of y with respect to x, dy/dx of X=y^3/3+y

A: The given equation is x = y3/3 + y Differentiate on both side with respect to x d/dx(x) = d/dx (…

Q: Compute the indicated derivative using the chain rule. dy x = 1 – t/3, y = 8t – 1; dy %3D

A:

Q: Find the derivative of y with respect to x

A: we are given an inverse function

Q: x tan(yz) ey – 4x3z2 3: Find the total derivative of f(x, y, z) =

A:

Q: The integrating factor of y= 2x' is dx

A:

Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

Q: find the total derivative of z = f(x,y) = 2x+xy-y2 where x=g(y)=3y2

A: Given function: z=2x+xy-y2 where x=3y2 Putting the value of x in z , we get…

Q: z = Vx4 + yf, fz (1, 2)

A:

Q: Find the derivative of y = = Ve-5t +1 dy dt ||

A:

Q: Compute the indicated derivative using the chain rule. dy x = 5 + 3t, y = -8t; dx dy %3D dx

A: We have to find the indicated derivative by using chain rule: x=5+3t, y=-8t Differentiating first…

Q: Find the derivative of y with respect to x. y = (x° In x) ³ dy dx II

A:

Q: Use partial differentiation to find the derivative of the implicit function dy (3x'y-1)+ 7xy = 9…

A: We will use the given formula to solve this question.

Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

A:

Q: find the partial derivative of the function with respectto each variable. ƒ(x, y) = 1/2 ln (x2 + y2)…

A: The given function is fx,y=12lnx2+y2+tan-1yx.

Q: Find dy/dx by implicit differentiation. x3y3 − y = x

A: Consider the following equation: x3y3-y=x                    ...... 1

Q: Find dy dx2 by implicit differentiation. x y + eY d2y %3D dx2

A: Note: As per company's guidelines, we should solve only one question. So, kindly post the next…

Q: Find the derivative of the function. 2x F(x) = arctan(t) dt Vx F'(x) : %D

A: The given problem is to find the derivative of the given definite integral function. We have to use…

Q: Find the partial derivative, g„ where g(x,y)=sin° (2x+ y).

A: Find your answer below

Q: The integrating factor of the linear DE of order one + y csc x = sin x is dx

A:

Q: What is the integrating factor of xy' + 6y = 3xy3?

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. y= ;d'y/dx 2. Y = (7x + 2)S ;y"…

A:

Q: Find the derivative of y with respect to x if y = e¯1X. dy dx II

A:

Q: Find the total derivative of the function f(x, y, z) =+z In (2x+1)+sin (xy) xz

A:

Q: Determine the integrating factor xydy - (y2-3x2)dx = 0

A:

Q: Find the derivative of y with respect to x. y = (3x + 4)* dy %3D dx II

A:

Q: y=In(x dy -

A: Given : y = ln1xx-5

Q: y" +6y' +10y=0; y(0) = 2, y'(0) =

A:

Q: Find the derivative of y with respect to the appropriate variable. y= cosh 2x+2 O A. V(4x + 9)(x +…

A:

Q: Find dy/dx by implicit differentiation. x3 − xy + y2 = 7

A: Given : x3 − xy + y2 = 7

Q: What is the derivative of y = tan-1(x2 + 1)? dy dr 2 1+( z²+1)² dy dr /1+(z²+1)² dy O dr V1+(2+1 )°…

A: To find derivative of y=tan-1x2+1

Q: Compute the indicated derivative using the chain rule. dy x = 1 - t/3, y = 8t – 1;- dx dy dx

A: x=1-t3 differentiating with respective t dxdt=-13 y=8t-1 differentiating with respective t dydt=8

Q: dy Y = y° dx 'x

A: As per guidelines,we will solve only first question.

Q: The Integrating factor of the equation (x²y³ + xy) dy dx 1 is

A: We have to find the integration factor of the equation x2y3+xydydx=1. We know that integrating…

Q: Find the indicated derivative. dy for y = 1- 2x2 x4 - 2x2 dx + 3 dy dx

A: Quotient rule: ddxuv=vddx(u)-uddx(v)v2

Q: Find the derivative of y with respect to z. y=3 (2°) dy dz II

A: We have to find the derivative of y with respect to z when y=3z9 Taking log both sides,…

Q: The total derivative of f(x,y )=3 x+ 3 y-41n y is

A: Given function is fx,y=3x3+3y2-4 ln y find the total derivative  dz=fxx,ydx+fyx,ydy

Q: Find Zxx=Zyy=Zxy=

A:

Q: can you help me step by step with this problem?

A: Please see the white board. Let's differentiate both sides with resepct to x.Recall that:d(cosx)/dx…

Q: Find the derivative of y with respect to x. - 4x y = (3 + 12x) e dy %3D dx

A: Given function is

Q: y" – 4y' +4y = 0; y(0) =-1, y'(0) = 0

A: We have to solve the differential equation…

Q: Find the derivative of f(x, y) = (2x – y°, sin(ry), r²y*)

A: Given f(x,y)=2x-y3,sin(xy),x2y3 differentiate f(x , y) with respect to x we get…

Q: Find the derivative of y with respect to x. 6 y = (x³ In x) %3D dy dx II

A: Please see the below picture for detailed solution.

Q: Find the derivative of y with respect to x. 1 y = In x/x+5 dy dx II

A:

Q: 3. Find the total derivative of V with respect to X. V=3X³ +5Y²+6Z Z=4+5X Y=3X+6Z+5XZ

A: Given, V=3X3+5Y2+6ZZ=4+5XY=3X+6Z+5XZ

Q: Find the derivative of the function. y = (3t – 1)(6t – 6) -1 dy dt II

A:

Q: 1. F(x) = S, t³ - 5t dt

A:

Q: Find dy/dx by implicit differentiation.   x3 + y3 + 5y − 2 = 0

A:

Q: Find the integrating factor of (x² - y²)dx + (x² - 2xy)dy = 0

A: Given  (x2-y2)dx+(x2-2xy)dy=0

Q: Find the third derivative of f (z) = T2x +I. fll! (z) =

A: Explanation of the answer is as follows