Find the first partial derivatives of the following functions: 5. y = Vx? – y2 6. z = In(x + /x? – y²) + /x? - y2) 7. v= sin¬1 /1- x²y2

Q: 1. Find the first partial derivatives of the function sin a cos B dz 2. Use implicit differentiation…

A: Partial differentiation

Q: cos x + sin y = e e`ty

A: Given,          cosx+siny=e-xy

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: 2. Determine the first order partial derivatives for each of the following functions. i) Q =…

A:

Q: Find all the second order partial derivatives of the given function. f(x, y) = cos (xy²) = -y4 cos…

A:

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: f(x,y,z)= (x+1)cos(x² + yz); find ôxôyôz at (0,1,7). el1+:) g(x, y, z)= find 8 zyy ,1,0 sin(x+z)'

A:

Q: (b) w = x²y – 10y2²2³ + 43z – 7 tan(4y) dw 2xy + 43 z² – 20yz³ – 28sec² (4) dy –30y²2² dz %3! dz

A:

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

A:

Q: 1 Find the partial derivative with respect to y of the function (2 x – 3) (3 y + 1)i el-5 z+5). -5…

A: To find the partial derivative of the given function with respect to y (2x-3)1/4(3y+1)1/4e(-5z+5)

Q: f2(x) = (4x + 5)°, fa(x)= (2x² +x)VI, fa(x) cos(3r) – 2 sin? x, COS

A:

Q: Find the derivative of y with respect to x.

A:

Q: Q8. Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y…

A:

Q: 3) Find the first partial derivatives of the function f(x, y) Y) sin (et) dt = 2X

A: