find `(d^2y)/(dx^2)` of `2x^2-7y^2=21` by using implicit differentiation

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llltkl | College Teacher | (Level 3) Valedictorian

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Given `2x^2-7y^2=21`

For the first derivative, using chain rule:


`rArr 14y*(dy)/dx=4x`

`rArr (dy)/dx=(4x)/14y=(2x)/(7y)`

Now for the second deriative apply the quotient rule:



Substituting the value of `(dy)/dx`




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