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## 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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- Thread starter SHOORY
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- #1

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is dx/dy= x/y

if yes can i use it always

for example in a circle

dA/dtheta=A/360

if its right sometimes what are the conditions of using it

- #2

mjc123

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And it is quite easy to find counter-examples. For example, let ##y = x^2##. Then ##dy/dx = 2x \neq y/x = x##.Generally, no it is not.

- #4

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

- #5

mjc123

Science Advisor

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See the graph below for an illustration. The *secant* is the line through the origin that *cuts* the curve at (x,y); its slope is y/x. The tangent is the line that touches the curve at (x,y); its slope is dy/dx, the instantaneous slope of the curve at (x,y), or the rate of change of y with x at that point.

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