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# Differentiation CORE 3 Watch

1. Please can someone explain the following question because i have looked at the mark scheme and still don't understand!

1.
A curve C has the equation y^2– 3y = x^3 + 8.
(a) Find dy/dx in terms of x and y.

Thanks
2. (Original post by stanmoor)
Please can someone explain the following question because i have looked at the mark scheme and still don't understand!

1.
A curve C has the equation y^2– 3y = x^3 + 8.
(a) Find dy/dx in terms of x and y.

Thanks
This is implicit differentiation
do it term by term

2y(dy/dx) -3(dy/dx)= 3x^2

group the derivatives

(dy/dx)(2y-3)=3x^2

divide through

dy/dx = (3x^2)/(2y-3)
3. EDIT

Nevermind!
4. Implicitly differentiate that shizzle.

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