Question

1) Find dy/dx given y^2= x

Answer 1

Dy/dy^2

we can cancel out the variable “d” by simply dividing. after we do so, we are left with y/y^2. when dividing variables with exponents, you subtract the exponent from the denominator’s variable from the exponent in the numerators variable.

for example, since we have just “y” as the numerator, we can think of it as “y^1”
so, y^1/y^2
y^1-1=y^0
we are left with y^0 or 1, over y^1 or y. think of this as 1/y