Question

how to implicit differentiate:
x^(2/3)+y^(2/3)=5

Answer 1

You know the chain rule right? Just apply that here...
Differentiate x normally and differentiate y but add dy/dx

Answer 2

Differentiate each term using the Power Rule. For the term with y you will also use the chain rule which will result in dy/dx being added to the end of the power rule result. Then solve for dy.

Answer 3

Then rearrange and make dy/dx the subject. Im assuming you are doing this with repsect to x

Answer 4

okay! thank you! :)