Home
Class 12
MATHS
For each of the function find the g (xy)...

For each of the function find the `g _(xy), g _(yy) and g _(yx ),`
`g (x,y) = xe ^(y)+ 3x ^(2) y`

Text Solution

Verified by Experts

The correct Answer is:
(i) `e^y+6x`
(ii) `(-15)/((5x+3y)^2)`
(iii) 3
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise EXERCISE - 8.5|5 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise EXERCISE - 8.6|8 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise EXERCISE - 8.3|7 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos

  • DISCRETE MATHEMATICS

    FULL MARKS|Exercise Additional Question Solved|20 Videos

Similar Questions

Explore conceptually related problems

For each of the function find the g _(xy), g _(yy) and g _(yx ), g (x,y) = log ( 5x + 3y)

For each of the function find the g _(xy), g _(yy) and g _(yx ), g (x,y) = x ^(2) + 3xy - 7y + cos (5x)

For each of the functions find the f _(x), f _(y), and show that f _(xy) = f _(yx). f (x,y) = (3x)/( y + sin x)

For each of the functions find the f _(x), f _(y), and show that f _(xy) = f _(yx). f (x,y) = cos (x ^(2) - 3xy )

For each of the functions find the f _(x), f _(y), and show that f _(xy) = f _(yx). f (x,y) = tan ^(-1)"" ((x)/(y))

Find the partial derivatives of the functions at the indicated point G (x,y) = e ^(x+3y) log (x ^(2) + y ^(2)), (-1, 1)

Find (dy)/(dx) " for " xy + xe^(-y) + ye^(x) = x^(2)