58. Find the value of ox/az at the point (1,-1,-3) if the equation xz + y In x – x? + 4 = 0 defines x as a function of the two independent variables y and z and the partial derivative exists.

Q: Evaluate the indicated partial derivatives. 2 = 9r*y – 3r*y az az dy

A: We know that, The Power law: ddxxn=nxn-1   Given: z=9x2y-3x5y

Q: 1. Find the first partial derivative of z with respect to x if x'y+ y°z+ z'x = 11.

A:

Q: Find the Partial Derivatives of the functions with respect to each variable X+y 6) f(x,y) = -у' -1…

A:

Q: Find both first partial derivatives.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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: 3.2 Find the partial derivatives of f(x,y) = 3x°y².

A:

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: 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: Find the value of dz at the point (1)1, If the equation 5xy+ z4x -Qy2 =4 %3| defines z as a function…

A: Given 5xy+z4x-2yz=4to determine dzdx  at  (1, 1, 1)

Q: 5) Starting from the expression Cp- Cy = T use the appropriate relations between partial derivatives…

A: The amount of heat required to raise the temperature by one degree in one mole of the substance is…

Q: z = x3 – xy? + 3y² |

A:

Q: Find the value of at the point (1,1,1) if the equation 3xy +z°x-2yz = 2 defines z as a function of…

A: First do the partial differential in both the sides and then separate ∂z∂x and then put the value…

Q: Find the first partial derivatives of the function. z = (7x + 8y) az !! ax %3! ду

A:

Q: 12. Please help me solve all parts to this calculus problem

A: Let's find.

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

A:

Q: could I get help finding all the 2nd order derivatives please

A:

Q: Differentiate implicitly to find the first partial derivatives of z. 3x2 + 11y? + 722 = 64 az ? əx…

A:

Q: 3.4 Find the first partial derivatives of f(x, y) = 7x°y* + 9x y° +3. df = 21x y" + 18xy dx of %3D…

A: solution

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: Find the first partial derivatives of the function. w = In(x + 3y + 6z) 3 %3D ду x + 3y + 2z aw dz…

A:

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: Find both first partial derivatives. z = 2y2√x

A: fx = differentiate with respect to xfy=differentiate with respect to yddxxn=n xn-1

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: 58. Find the value of ax/ at the point (1,-1,-3) if the equation x+ y lnx +4 = 0 defines x as a…

A:

Q: Find the value of at the point (1, 1, 1) if the equation xy+ z°x – 2yz = 0 defines z as a function…

A: Given equation, xy+z3x-2yz=0

Q: Find the solution of the differential formula in partial derivatives = x³ sent +1; y(x,t);…

A: Integrate twice with respect to t and then put conditions

Q: Find the first partial derivatives for f(x.y)= 10x cos (3xy)

A:

Q: Solve for the second (a) own partial and (b) cross partial derivative of the function below x² + y²…

A: On solving this we will get

Q: Compute the partial derivative of h(x, z) = e4xz-3x²z. (Use symbolic notation and fractions where…

A: In this problem first we need to partially differentiate the function with respect to z and then put…

Q: Differentiate implicitly to find the first partial derivatives of z. 7x2 + 5y2 + 2z2 = 25 az ax dz

A:

Q: Find the first partial derivatives of the function. z = (8x + 7y)5 Əz ax az %3D Əy

A:

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

A:

Q: 5/(A)Evalute ex² dxdy. (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

A:

Q: Find all second-order partial derivatives for the following. 5 6,5 4.7 R(x,y) = 6x° – 8x°y$ + 3x*y7…

A: We have to find derivative

Q: 5.Find all the first partial derivatives of each function f (x,y) =(2x– y)* а. 3/2 S(x, y)= (4x–…

A:

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: (b) Find all first and second partial derivatives of z = x² In(x² + xy).

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 5.3.21 5x cos (xy). Find the first partial derivatives for f(x,y) ox Enter your answer in the answer…

A: Given the function f(x,y)=5x cos(xy), The product rule will work the same way here as it does with…

Q: Q14. If V = f(2x – 3y,3y- 4z,4z – 2x) then apply chain rule of partial derivatives to prove that 6-…

A:

Q: Find the first partial derivatives of the function. W = In(x + 3y + 6z) 1 x + 3y + 6z aw 3 ду х+ Зу…

A: Given :W=ln x+3y+6zTo determine∂w∂x,∂w∂y and ∂w∂z

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: Let ƒ(x, y) = 3x2 + y3.a. Compute ƒx and ƒy.b. Evaluate each derivative at (1, 3).c. Find the four…

A: Given:                      f(x, y)=3x2+y3   To determine:               a) The partial derivatives…

Q: Find both first partial derivatives. z = x2e2y

A: Given function is z=x2e2y. Partial derivative means derivative of function with respect to one…

Q: 7.5 Find the four second-order partial derivatives for f(x, y) = 3x*y® + 8x°y$. "yx

A:

Q: Find the 1st partial derivatives of z=(4x+6y)^11

A: Here we have to find partial derivatives by differentiating it with respect to x ( keeping y…

Q: Differentiate implicitly to find the first partial derivatives of w. x² + y² + z² - 7yw + 10w² = 9…

A:

Q: 1 the value of ax/az at the point (1, xz + y Inx - x2 + 4 = 0 nes x as a function of the two…

A: Here the given that,  xz+yln(x)-x2+4=0 where x as a function of two independent variables y and z