f(x) g(x) h(x) dy )x) If y =11 nl,show that _ =11 dx m m

If y = x/(x+a) ,show that x dy/dx = y (1- y)

If f (x, y) = 2x ^ (3) -11x ^ (2) y + 3y ^ (3), show that: x (delta f) / (delta x) + y (delta f) / (delta y ) = 3f (x, y)

If f (x, y) = 2x ^ (3) -11x ^ (2) y + 3y ^ (3), show that: x (delta f) / (delta x) + y (delta f) / (delta y ) = 3f (x, y)

If y=|[f(x), g(x), h(x)],[ l, m , n],[ a , b , c]| prove that (dy/dx)=|[f'(x), g'(x), h'(x)],[ l, m , n],[ a , b , c]|

If y=|f(x)g(x)h(x)l m n a b c| , prove that (dy)/(dx)=|f^(prime)(x)g^(prime)(x)h^(prime)(x)l m n a b c| .

Let f be twice differentiable function such that f^11(x) = -f(x) "and " f^1(x) = g(x), h(x) = (f(x))^2 + (g(x))^2) , if h(5) = 11 , then h(10) is

If y=|(f(x),g(x),h(x)),(l, m, n),( a, b, c)| , prove that (dy)/(dx)=|(fprime(x),gprime(x),hprime(x)),(l, m, n),( a, b, c)|

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) .