Question

x^2+y^2=25 then find dy/dx​

Answer 1

x2+y2=25

Differentiate both sides of the equation.

d

d

x

(x2+y2)=ddx(25)

Differentiate the left side of the equation.

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2yddx[y]+2xSince 25

is constant with respect to

x

, the derivative of

25

with respect to

x

is

0.0

Reform the equation by setting the left side equal to the right side.

2yy'+2x=0

Solve for y'.

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y

'

=−xy

Replace

y'with dydx.dydx

=−xy