= x³y² – 3x²y + 5x – 3y + 12

Q: Find the second partial derivative for the function z = x7-7xy + 6y2 with respect to x.

A: Solution of given question is written in below steps.

Q: z = x3 – xy? + 3y2

A: Let us consider the two variable function z=f(x,y) The first partial derivative of the function is…

Q: Find the four second partial derivatives of the following function. f(x,y) = ln (3x2 + 4y2 + 7)…

A: We have to find

Q: 4. [ ]Find the derivative of y with respect to the given independent variable: Ins 7x (a) ex³y = 2x…

A: Given equation ex2y=2x+2y   As per our guideline, we  supposed to answer only the first three…

Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x,y)…

A: Please see the below picture for detailed solution for detailed solution.

Q: Find the derivative of the function #1) F(x) = In(2x+3)· (4x +7) tan(x) t +4 dt t2 +2 # 2) h(x)= |

A:

Q: If f(x, y, z) 2x5 + 3y5 — 8x2у?z?, - what is the partial derivative of f with respect to z? .A f z =…

A: Partial differentiation of  F(x,y,z) = 2x⁵ +3y⁵ - 8x²y²z² with respect to z

Q: If f(x, y, z) 2x5 + 3y5 - 8x2y2z2, what is the partial derivative of f with respect to z?

A: The given function is fx, y, z=2x5+3y5-8x2y2z2.

Q: z = x3 – xy? + 3y² |

A:

Q: 12.) Compute the first partial derivatives of the following function. f(x,y) = 2- tan 1 (7x² + 2y²)…

A: The given function isf(x, y) =2tan-17x2+2y2to find partial derivative fx, fy

Q: Is ƒ(x, y) = x2 - xy + y2 - 3 more sensitive to changes in x or to changes in y when it is near the…

A: Partial derivative of f w.r.t a variable is the indicator of the sensitivity of f towards that…

Q: Q2. Find the second order partial derivative of F(x.y) = x³+ x°y°- 2y² w.r.t. x at (2,1).

A: Given:        Fx,y=x3+x2y3-2y2  taking first partial derivative with respect to x.…

Q: Find the first partial derivatives of the function z = (2x + 3y)10.

A:

Q: Find the first partial derivatives of the following function. s(xz)-z2 tanxz

A: The given function is s(x, z) = z2 tanxz.The first partial derivative of the function s with respect…

Q: What is the derivative of k(y)=(6y^−1+3y^−2)(6y^−3+4y^−4)?

A: The given function is: k(y)=(6y-1+3y-2)(6y-3+4y-4) We have to find it's derivative with respect to…

Q: 16) Compute the first and second-order partial derivatives for f(x, y) = x²y³ + x + y² − 3

A:

Q: 2. f(x,y) = ye3x²+4y³

A: Given query is to find the fist order partial derivative.

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x (x+ 3)5 15) у - In 6х- 8 A)…

A: Given that:y=ln1-xx+35To find derivative

Q: 4+2x If g(x.y) = By then the mixed partial derivative at the point (- 2. is:

A:

Q: Find the partial derivative with respect to x of the function 4 x 4y – 4/-5 z – 3. 10 z 4y-4 V-5 z-3…

A:

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A:

Q: 7) Find the critical point (s) of f(x, y) = 2x³ + 3y² - 9x² - 30y + 12x-3. Then use the second…

A: solution is given below...

Q: If f is a function of x and y such that fxy and fyx are continuous, what is the relationship between…

A: Function: fx and fy are continuous function. Let us choose f(x,y)=x3y3+πxy Here fx=3x2y3+πy…

Q: Find the partial derivative Əz Əx for the function z = 8y²√x.

A:

Q: 5. z = yex+x Iny xey-y lnx

A: Solution : z=yex+xln(y)xey-yln(x) zx=∂z∂x =∂ ∂ xyex+xlnyxey-ylnx-∂ ∂ xxey-ylnxyex+xlnyxey-ylnx2…

Q: What is the derivative of y x2 e+ 3x -2 ? %3D O y = (6x³ + 3x? +2) ez?+2z - 2 %3D O y = (6x + 3)…

A: Topic = Derivataive

Q: Find all second-order partial derivatives for the following. f (x, y) = 2y ln x

A: To find all the second order derivative for the function f(x, y)=2ylnx

Q: Find the second-order partial derivative. 4) Find fxy when f(x.y) = 8x3y 7y2 + 2x. A) - 28 C) 24x2…

A:

Q: Find all second partial derivatives of the function f(x, y) = In(3x? + 5y).

A:

Q: 4. Show in two ways that the function f(z) = exp(z²2) is entire. What is its derivative? Ans. f'(z)…

A:

Q: Find the four second partial derivatives of the following function. f(x.y) = In (7x2 +2y? +7)

A:

Q: Find the first partial derivatives of the given functions with respect to each independent variable.…

A: Given, function is

Q: 2) Let f(x, y) = x sin(2y) + 5y¹. Find fyyyyyyyyyy (x, y) (10 partial derivatives), explaining how…

A: Here the given function is f(x,y)=xsin(2y)+5y4x. We have to find the 10 times partial derivative of…

Q: Find the partial derivative with respect to x of e^y-2*ln(x)-x^3y^2.

A:

Q: Find Zxx=Zyy=Zxy=

A:

Q: Find the first partial derivatives of fx and fy of the function f(x,y) = 4e2x - x3y5

A:

Q: Compute the indicated partial derivative. g(x, у) %3 сos(x + ) 9xxy

A:

Q: Find the first partial derivatives of the given functions. 1. z = x3 – xy? + 3y?

A: SOLUTION-

Q: Find the third order derivative of y = In(cos(2x))5. %3D A. y' = -40sec² (2x)tan(2x) %3D В. у' 3…

A:

Q: Find both first partial derivatives. z = 6x − x2y + 8y2

A: Find both first partial derivatives. z = 6x − x2y + 8y2

Q: Find the first partial derivatives of the following function. f(x,y)-./ 3x2 + 8xyty2

A: To calculate the first partial derivatives of the given function of two variables

Q: Find the derivative of the function. y = (3x+1)(x*-6)s O a. y' = 9(3x+1)2(x+-6)°+32x(3x+1}³(x4-6) а.…

A:

Q: 5. Find all the second partial derivatives f(x, y) = 2x + 3y

A: To find all the second partial derivatives of: f(x,y)=y2x+3y For that, find the first partial…

Q: Find the four second partial derivatives of the following function f(xy)-In (7x2 + y2 +9)

A: To calculate all the second order partial derivatives of the given function of two variables

Q: 10. Use the Chain Rule to find the indicated partial derivative if ax F = Vu? + v2 + w², u = xe, v =…

A: F=u2+v2+w2To find ∂F∂x

Q: 5. Find the second partial derivatives of f(x, y) = x²y³ + 3y?

A:

Q: If z = xy2 + 6x, then y2 + 6 is the first order partial derivative of z with respect to x. O True…

A:

Q: Зх +1 a) y =- 1 b) g(x)= Jx -

A: