Can you please show me how to find the derivative of the given function: (2x-3y)^3 = x^2

Science & Mathematics by Anonymous 2018-05-18 11:07:33

Social Science

Can you please show me how to find the derivative of the given function: (2x-3y)^3 = x^2 - y?

1 answer

Thanks!

Anonymous

F(x,y)=(2x-3y)³-x²+y=0 We can use Dini theorem (implicit function theorem) to find derivative. dy/dx=-∂F(x,y)/∂x/∂F(x,y)/∂y= =(-12y-8x+2x)/(18y-12x+1)= =(12y-6x)/(18y-12x+1) Check. http://www.wolframalpha.com/input/?i=der... OK!