Question

Implicit differentiation

Answer 1

For part a, i implicitly differentiated the equation
\[x+xy-2x^3=2\]
\[\frac{ d }{ dx }[x]+\frac{ d }{ dx }[xy]-\frac{ d }{ dx }[2x^3]=\frac{ d }{ dx }[2]\]
\[1+y+xy'-6x^2=0\]
\[y'=\frac{ 6x^2-y-1 }{ x }\]

for part b, what are they asking??

Answer 2

I feel as though they are asking to solve the original equation for y

so y = ....

and then take the derivative of that function with respect to 'x'

Answer 3

By using the previous equation, or the equation that was implicitly differentiated?

Answer 4

The previous *Original Equation*

Answer 5

Thanks :)