finding term independent of variable

The changes ina function y and the independent variable x are related as dy/dx=x^2 . Find y as a function of x.

Find the term independent of a in the expansion of (a^((1)/(3))+(1)/(2a^((1)/(3))))^(18),a gt0 .

The variable used for predicting the response is called the independent variable.

Find the term independent of x in the expression (x-(1)/(x))^(14)

Find the term independent of x in the expansion of: (x-(1)/(x))^(12)

Find the term independent of x in the expansion of: (2x-(1)/(x))^(10)

In (dy)/(dx),x is independent variable and y is the dependent variable.If independent and dependent variables are interchanged (dy)/(dx) becomes (dx)/(dy) and these two are connected by the relation (dy)/(dx)(dx)/(dy)=1. Find a relation between (d^(2)y)/(dx^(2)) and (d^(2)x)/(dy^(2))

In (dy)/(dx),x is a independent variable and y is the dependent variable.If independent and dependent variables are interchanged (dy)/(dx) becomes (dx)/(dy) and these two are connected by the relation (dy)/(dx)(dx)/(dy)=1. Find a relation between (d^(2)y)/(dx^(2)) and (d^(2)x)/(dy^(2))

Find the derivative of given function w.r.t. corresponding independent variable y=5sin x