CPM Homework Help : CALC Problem 4-129

Does $\frac { d } { d x } ( ( x - 3 ) ( 2 x + 9 ) ) = \frac { d } { d x } ( x - 3 ) \cdot \frac { d } { d x } ( 2 x + 9 )$ ? Test your conjecture.

Step 1:

Evaluate the left-side of the equation first. Be sure to multiply before you differentiate.

Step 2:

Next evaluate the two derivatives on the right side of the equation. Multiply after you differentiate. Do the two answers agree?

Answer:

In this course, you will discover several shortcuts to help you find derivatives. This is not one of them!