For the function f(x,y)= (x² + y²) tan(ln(xy)) + e(x-y) which of the following is the value of 2f,(1,1) + fy(1,1) ?

Q: Find the differential of the function y = f(x). 2x2 + 5 f(x) = X + 5 dy = %3D

A:

Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y? + z²; x = p sin $…

A:

Q: Find the derivative of y with respect to x. y = tan (In 3x) O A. 1+(In 3x) 21 O B. x(1 + ( In 3x)) 1…

A: Given: The function y=tan-1ln3x, To determine: The derivative of y with respect to x,

Q: hi, i've added the problem as a picture please take a look. thanks in advance!

A:

Q: dx y=u(1+u°)³ and u =(3x-2)². %3D Express the derivative in terms of x, if

A:

Q: Given sin(x?y²) + y³ = x + y , using implicit differentiation for partial derivative show dy that dx…

A: Implicit derivative dydx of sinx2y2+y3=x+y

Q: Find the third derivative of f(x) = ³/15z + 1. f"" (2) - ab a b √a |a| π sin (a) 2.

A:

Q: Let f(x, y) = sin(3x + 5y) and P = 3 Find the maximum rate of change of the fucntion f at the point…

A: Find gradient of f(x,y). Find compute the point . Take the magnitude of the same .

Q: Use the appropriate form of the chain rule to find the derivatives. 12x2 + 12y? + z²; x = psin o cos…

A: We have to find derivative of given function by using chain rule.

Q: Find f(x), the most general antiderivative of the function: f" (x) = 18x – 3 sin(x)

A: Explanation of the answer is as follows

Q: In the given equation, find dy/dx by implicit differentiation. O (3x²+tan-ly)(1+y²) (1+y)e-x O…

A: Basic identities of differentiation is used.

Q: 1. Find by implicit differentiation (a) e=/y = x – y (b) sin (x + y) = COs r + Cos y

A:

Q: Find the directions in which the function f(x, y) = x²y+exy sin(y) Increase and decrease most…

A:

Q: Use the appropriate form of the chain rule to find the derivatives. 7x2 + 7y? + z²; x = psin ø cos…

A: This question is based on Partial derivatives.

Q: f(x) = 9x3 + 4x.   Find the differential of the function.   dy =?

A: Given , y=fx where fx=9x3+4xwe have to find the differential dy

Q: Find the differential d4y of the function y=x4.

A: Given function is

Q: Use the appropriate form of the chain rule to find the derivatives. 5x2 + 5y? + z2; x = p sin o cos…

A:

Q: Find the linear approximation of f(x)=ln(x) x=1 and use it to estimate ln(1.1). L(x)= ln(1.1)=

A:

Q: B) Find for the Implicit function: dx x2 - sin(xy) + y² = 5xy

A:

Q: Use the appropriate form of the chain rule to find the derivatives. w = 12x2 + 12y² + z²; x= p sin o…

A:

Q: If f(x,y) = y2 ex + 3 ln (xy), find fxyy (1,1). fxyy (1,1) = ?

A:

Q: Find the derivative of y with respect to x. y= sin -3 O A. XV1-x - 3 O B. 1+x - 3x 3 c. 1-x -3 O D.…

A: Given that: y=sin-11x3

Q: 2. Find the derivative (dy/dx) of the following functions: h) y = 3x7 – 7x³ + 21x² - i) y = (x² +…

A: As per guideline we have to solve first three subparts

Q: b) Find O Using the chain rule to find de x-1 dy of y= dy of y sin 1-xy ) Using the implicit…

A:

Q: Suppose that y is a differentiable function of x and w = sin(y2). Express the derivative of w with…

A:

Q: Use the appropriate form of the chain rule to find the derivatives. w = 7x2 +7y²+ z2; x = p sin o…

A:

Q: 12. Find frxyz for f (x, y, z) = sin (3x + yz)

A:

Q: Find the differential dy of the given function.    y = x tan x

A:

Q: Find the derivative of y = x°e*. O a. y' = 3e*x2(e*+x) O b. y 3x2(e* +1) O c. y = e*x2(x+ 3) O d. y'…

A:

Q: Find the differential of the given function y = xcosx

A: To differentiate

Q: II. Find by implicit differentiation. dx dy 1. 2x? + 2y? =17 2. x'y - xy = a'b 1_1, 3. x y 4. 2x +…

A:

Q: find ƒx , ƒy  . 1.ƒ(x, y) = e^(xy) ln y 2. ƒ(x, y) = cos^2 (3x - y2 )

A: Hi! You have uploaded multiple questions. As per norms, we will be solving only the first question…

Q: Find by implicit differentiation. dx 1. x3 – xy + y? = 7 2. x³y + y?x = -3 3. xy = x?y + 1

A:

Q: Let y = f(x), where   f(x) = 5x3/2 + x1/2.   Find the differential of the function.

A: The given function is

Q: Find the differential of the function f(x) = (x+4)^(1/2) dy =

A: Find the differential of the functionf(x) = (x+4)^(1/2)

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz,at the point in the direction of A =…

A:

Q: The derivative of y =e' ,In(sin 2x) is a) y = eln(sin 2x) sin 2.x b) y = e a(sin 2x), cos 2.r c) y'…

A:

Q: Use the appropriate form of the chain rule to find the derivatives. 5.x2 + 5y2 + z²; x psin ф сos 0,…

A:

Q: Find the differential dy of the given function. sec² x y x² + 2 sec 2x (2x²tan x + 4 tan x-2x)…

A: This question is based on quotient rule

Q: 1. If f(x, y) = sin(4x-2y)+ln(x²-2y) find fy fyx

A:

Q: 2. In each case, find the derivative d. (a) z = x³ – y² and x(t) = cos 2t and y(t) = e-3t, (b) z =…

A:

Q: 2- find dy/dx e2x = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x –…

A:

Q: Use the appropriate form of the chain rule to find the derivatives. W = 5x2 + 5y? + z²; x = p sin o…

A:

Q: What is derivative d(y)/d(x) of "xsin(1/y^e)=(1-xy²)^½

A:

Q: Find the derivative of y with respect to x: ,2 2 X'e y = log,2 x+2) Evaluate the integral: -1 cos…

A:

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

A: Differentiating implicitly with respect to x on both sides. Solving left hand side first.

Q: dw of w==+ dt x. y Use the chain rule to find the derivative with x = cos 1, y = sin ?t, z = - dw…

A:

Q: Find the general antiderivative of the function f(x) = +3 sin x - : 1 1+x?

A:

Q: A-The derivative is y = In Vsin 0 cos 0 1 + 2 ln 0

A: Let's find derivative of given  function.

Q: 1. Differentiate the function f(x) = (4x – 5)*(3x – 1)ª %3D d²y for y = 2x sin 5x dx? 2. Find dy…

A: It is derivative problem.