How do you Use implicit differentiation to find the equation of the tangent line to the curve #x^3+y^3=9# at the point where #x=-1# ?
We begin this problem by finding the point of tangency.
Substitute in the value of 1 for
Not sure how to show a cubed root using our math notation here on Socratic but remember that raising a quantity to the
Raise both sides to the
We just found that when
Complete the Implicit Differentiation
Substitute in those
Now use the slope intercept formula,
Make the substitutions
Equation of the tangent line ...
To get a visual with the calculator solve the original equation for