Jumanji

f(x,y) = e^-(x^2 + y^2 + 14x)

f has a:

A.) relative minimum

B.) relative maximum

C.) saddle point

D.) is inconclusive

at the point ( ??? , ??? )

TYIA

f(x,y) = x^7 y^4 - 7x^8 y+x

find the points on the surface x^2 - yz = 1 that are closest to the origin.

(x,y,z) = ( ??? , ???, ???)(x,y,z) = ( ??? , ???, ???)

f(x,y) = x^8 y^5 - 4x^7 y+x

fyxy = ???

Suppose that a function f(x , y) is differentiable at the point (4 , 4) with fx(4 , 4) = 8 and fy(4 , 4) = 5, estimate the value of f(4.08 , 3.91)

f(4.08 , 3.91) = ???

Find fx, fy, and fz

f(x,y,z) = 5z ln (x^3 y^5 cos 3z)

fx = ???

fy = ???

fz = ???

Find ∂z/∂x and ∂z/∂y

z = x⁶ ln (1+xy⁻³/⁴)

∂z/∂x = ???

∂z/∂y = ???

z = (x^2 + 5x - 2y)^9

∂z / ∂x = ???

Calculate az/ax and az/ay using implicit differentation. Leave your answers in terms of x,y and z

x^7 + zsinxyz = 0

az/ax = ???

az/ay = 

choices are in the picture provided... TYIA