Common Calculus Mistakes
Partial Derivative of Tangent

The Goal

Find

goal


The Mistake

Find the mistake:

mistake

Need a hint? Look carefully at the red part:

mistake


The Correction

correction


An Explanation

This derivative requires the use of the chain rule. The derivative of tan(xy) with respect to x is sec2(xy) times the partial derivative of xy with respect to x, which is y.

<-- Back