dz dz as' at If z= xy - 2x+3y and X= cos s, y=sin t find dz =2 cos s +cos t sin s, as dz = sin s cos t- 3sin t at dz = cos s cos t+3cos t at dz 2sin s- sin t sin s, as az əz 2sin s- cos t cos s, as sin s sin t + 3 sin t at dz O dz = - 2cos t+ cos t sin s, ds - sin t cos s- 3 sin t at = -

Q: Find y SX a) y = 3 sin (x² + 5x - 3) y' = c) y = sin" (6x) y'= b) xE5X+2 d) y = In (2x) Y₁ = Y y' =

A:

Q: Find the general solution of the system of equations 2 -5 x' 0 = - ( ² = ₂ ) x + ( cost), 0 < t < *.…

A:

Q: Find y" of sin y + cos x = 1 using implicit differtiation

A: Given Data: Equation: siny+cosx=1 ......1   The first differentiation of equation (1) using the…

Q: z = sin(6x) sin(5y) az az dy II

A:

Q: What is dy of x = cos(v)? dx O sin(y) O-sec(y) O-csc(y) O tan(y)

A: Given,.

Q: Find dy/dx for 4 cos4 xsiny = 15

A: d(uv)dx=udvdx+dudxv

Q: Find all Second partial derivatives fcx.y)- Sin?Cmx+ny)

A: Given that, f(x, y) = sin2(mx + ny) we have to find second partial derivative with respect to x and…

Q: 5) If dy da = y² + 1 and x = 1 when y=0, then A) y tan (x-1) B) y =sin (x-1) C) y =√x+1 D) y = tan x…

A:

Q: 6) y = (sin¬1 8t) (sec -1 derive

A: First, we use the product rule