22. u = Vr² + s², r = y + x cos t, s=x + y sin t; ди ди ди əx’dy when x = 1, y = 2, t = 0 dt

Q: Find the derivatives for the following function: a. Z-f(x, y)-6e*+4x*y- 8lny ze Find the partial…

A: z=6ex+4xy-8lny firstly differentiate partially w.r.t x∂z∂x=6ex+4y(1)-0∂z∂x=6ex+4y

Q: Evaluate the indicated partial derivative. Z-9xy-3x-y:. A 18x-15x B B 18ty-15xty 9x2-3x$ D 93y-3ry

A:

Q: Compute the first-order partial derivatives of the given function. P = eVy10+26 (Use symbolic…

A:

Q: (b) f(x) — хе*-у-z xex-y-z

A:

Q: Use the Chain Rule to find the indicated partial derivatives. P = √u2 + v2 + w², u = xey, v = yex, w…

A: Solution: P=u2+v2+w2   ............(1)Plug the value of u,v & wP =xey2+yex2+exy2

Q: How are second-order partial derivatives used in findingextrema?

A: We have to tell how we can find extrema using second-order partial derivatives   The second…

Q: 6. Use implicit differentiation to find first order partial derivatives: tan-(x²y) = y²z3 +…

A:

Q: Compute the first-order partial derivatives of the function. w = ln (x³ — y6) (Use symbolic notation…

A: The given function is .We have to find the first-order partial derivatives of the function.

Q: 配一 X一y

A:

Q: (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

A: Let us find the four second partial derivatives of the given function in the next steps.

Q: individual's chronological age C and the quotient is multiplied by 100. The result is the…

A:

Q: Compute the first-order partial derivatives.  z = x/y

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: Use the Chain Rule to find the indicated partial derivatives. = x² + x²y, x = s +2tu, y = stu²; Z =…

A:

Q: az x²+y² - z² = 2x( y + z) ; 江一下

A:

Q: Use the Chain Rule to find the indicated partial derivatives. z = x² + x²y, Əz az az as at au x = s…

A:

Q: Compute the first-order partial derivatives of the function. z = tan (3uu³) (Use symbolic notation…

A: