# Integration and derivation

## Homework Statement

is dx/dy= x/y
if yes can i use it always

## Homework Equations

for example in a circle
dA/dtheta=A/360

## The Attempt at a Solution

if its right sometimes what are the conditions of using it

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mjc123
Homework Helper
Generally, no it is not. (You can integrate the expression to find the conditions under which it is true.)

Orodruin
Staff Emeritus
Homework Helper
Gold Member
Generally, no it is not.
And it is quite easy to find counter-examples. For example, let $y = x^2$. Then $dy/dx = 2x \neq y/x = x$.

And it is quite easy to find counter-examples. For example, let $y = x^2$. Then $dy/dx = 2x \neq y/x = x$.
ok thank you

mjc123