Calculus Differentiation Solver - Product Rule Definition and 5 Example Problems

Definition of the Product Rule and walk-through of 5 examples.

0:00 Rules
1:45 Example 1: Find the derivative of (x^2 + 1)(x^3 + 4) with and without using the product rule.
5:06 Example 2: Find dy/dx if y=(2x^(1/2) + 3/x)( 3x^(1/2) + 2/x)
8:28 Example 3: Let uv be the product of the functions u and v. Find y’(2) if u(2)=2, u’(2)=-5, v(2)=1, v’(2)=3.
9:24 Example 4: F(x) = (3x -2)(1 – 5x)
10:44 Example 5: y= x^(1/2)(5 – x – x^2/3)

The best way to learn how to solve a Calculus problem is to understand examples. This video has NO AUDIO. Problems should be clear and easy to follow.

There are often multiple ways to get to the same answer, so don’t be concerned if your path is different, as long as the final answer is the same.

#calculus #apcalculus #productrule #differentiation