Question

AP CALC:

For 4x^3 - 3xy^2 + y^3 = 28 find dy/dx at the point (3, 4) on the curve

A: 5/2
B: 4/3
C: 5/12
D: -7/6
E: 2/3

Answer 1

You are permitted to use a calculator for this section. It's review for my AP Calculus AB Calculator midterm

Answer 2

\[ 4x^3 - 3xy^2 + y^3 = 28 \]
\[12x^2-3y^2-6xyy'+3y^2y'=0\] is the first step
second step is to solve for \(y'\) using algebra or else replace \(x\) by 3 and \(y\) by 4 and then solve for \(y'\)

Answer 3

so 5/2!