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- Product and Quotient Rule for Derivatives

« Common derivatives formulas - exercises |

Differentiation: (lesson 2 of 3)

Let f(x) and g(x) be differentiable at x. Then h(x) = f(x)g(x) is differentiable at x and

We illustrate product rule with the following examples:

Example 1:

Example 2:

Let f(x) and g(x) be differentiable at x with g(x) ≠ 0 . Then f(x)/g(x) is differentiable at x and

We illustrate quotient rule with the following examples:

Example 3:Differentiate

Solution 3:

Example 4:Differentiate

Solution 4:

Example 5:Differentiate

Solution 5: