(g)" वक्र "y=x^(3)," बित्दु "(1,1)" पर। "

Solve the differential equation (df(x))/(dx)+f(x)*g'(x)=g(x)*g'(x). It is known that the curves y=f(x) and y=g(x) pass through (1,1) .

Solve the differential equation (df(x))/(dx)+f(x)*g'(x)=g(x)*g'(x). It is known that the curves y=f(x) and y=g(x) pass through (1,1) .

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

If f(x) = 1/2 (3^x + 3^(-x)), g(x) = 1/2 (3^x - 3^(-x)) , then f(x) \ g(y)+f(y) \ g(x)=

If x_(1), x_(2), x_(3) as well as y_(1) , y _(2) , y _(3) are in G.P. with the same common ratio, then the points ( x_(1) , y _(1)) , ( x_(2) , y _(2)) and ( x_(3), y _(3)) :

If x_(1) , x_(2) , x_(3) as well as y_(1), y _(2) , y_(3) are in G.P. with the same common ration, then the points ( x_(1) , y _(1)) , ( x_(2) , y _(2)) and (x_(3) , y _(3))

It g(x) is the inverse of f(x) and f(X) = (1+x^3)^-1 , show that g'(x) = 1/(1 + {g(x)}^3) .