If y is implicit differentiable function of x such that `y(x+y)^(2)=x` then` int(dx)/(x+3y)`

The differentiation of y=a^x.

Evaluate differentiation of y with respect to x : y=x^(2)sinx

Evaluate differentiation of y with respect to x : y=x^(2)-sinx

Evaluate differentiation of y with respect to x: (2x+1)^(-3)

Evaluate differentiation of y with respect to x: ((1)/(3x-2))

Differentiate ysiny = x+y with respect to x

for any differential function y= F (x) : the value of ( d^2 y) /( dx^2) +((dy)/(dx)) ^3 . (d^2 x)/( dy^2)

Evaluate differentiation of y with respect to x : y=5x+cosx

Solve the following differential equation: 3x^2dy=(3x y+y^2)dx

Solve the differential equation: (x+3y^2)(dy)/(dx)=y