Common Calculus Mistakes
Implicit Differentiation

The Goal

Find dy/dx, where x and y are related by the equation

goal


The Mistake

Find the mistake:

mistake

(Roll the mouse over the math to see a hint in red)


The Correction

correction

(Roll the mouse over the area above to see the correction in blue)


An Explanation

The derivative of y2 with respect to x was incorrectly computed to be y times dy/dx instead of 2y times dy/dx.

Home Page | Common Calculus Mistakes | Privacy Policy