Mathematics - I (3110014) MCQs

MCQs of Partial Derivatives

Showing 41 to 43 out of 43 Questions
41.

If f(x,y)=cos(xy) then the value of fx(π,1) is _____.

(a)

0

(b)

1

(c)

-1

(d)

2.5

Answer:

Option (a)

42.

The equation of the tangent plane to the surface 2x2+y2+2z=3 at point (2,-1,-3) is _____.

(a)

4x+y-z=-6

(b)

x+4y-z=6

(c)

4x-y+z=6

(d)

x+y+4z=6

Answer:

Option (c)

43.

Conditions for f(x,y) to have a minimum values are _____.

(a)

fx=0=fy, rt<s2, r<0

(b)

fx=0=fy, rt>s2, r<0

(c)

fx=0=fy, rt>s2, r>0

(d)

fx=0=fy, rt=s2, r>0

Answer:

Option (c)

Showing 41 to 43 out of 43 Questions