Home
Class 12
MATHS
If f(x,y,z) =xy + yz + zx, then f(x) - f...

If f(x,y,z) =xy + yz + zx, then `f_(x) - f_(z)` is equal to

A

z-x

B

y-z

C

x-z

D

y-x

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 6

    FULL MARKS|Exercise PART -IV|14 Videos

  • SAMPLE PAPER -07 ( UNSOLVED)

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

If f(x,y,z) = sin (xy) + cos(xz) , then f_("xx") is

If f(x,y) =e^(xy) , then (del^(2)f)/(del x del y) is equal to

A function f:RtoR is such that f(x+y)=f(x).f(y) for all x.y inR and f(x)ne0 for all x inR . If f'(0)=2 then f'(x) is equal to

Let a,b,c in R. " If " f(x) =ax^(2)+bx+c be such that a+b+c=3 and f(x+y)=f(x)+f(y)+xy, AA x,y in R, " then " sum_(n=1)^(10)f(n) is equal to

If f(2x+3y, 2x-7y)=20x, then f(x,y) equals :

A function f, continuous on the positive real axis, has the property that for all choices of x gt 0 and y gt 0, the integral int_(x)^(xy)f(t)dt is independent of x (and therefore depends only on y). If f(2) = 2, then int_(1)^(e)f(t)dt is equal to

If cot^(-1)x+cot^(-1)y+cot^(-1)z=pi/2,x , y , z >0a n dx y<1, then x+y+z is also equal to (a) 1/x+1/y+1/z (b) x y z (c) xy+yz+zx (d) none of these

If f (x) = cos ( log _e x ) then f(x) . f(y) - (1)/(2) [f(y/x ) + f (xy)] has the value