What is the equation of the line tangent to the curve x^2 + y^3 = 9 at the point (-1, 2)? I am thrown off because it's no longer a circle. Does it matter?
This can be done either implicitly or explicitly, it's easier done explicitly since we are given the
Differentiating both sides of
From the equation for a straight line...
You can also use the chain rule to differentiate the function explicitly, ie,