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Suppose that f(x) and g(x) are differentiable functions such that f(5) = 4, f'(5) = 3, g(5) = 2,...

Question:

Suppose that f(x) and g(x) are differentiable functions such that f(5) = 4, f'(5) = 3, g(5) = 2, and g'(5) = 1. Find h'(5) when h(x) = f(x)/g(x).

Quotient Rule:

We can differentiate a wide variety of functions, including ones that are written as the ratio of two expressions. In order to find such a derivative, we need to apply the Quotient Rule.

{eq}(\frac{f}{g})' = \frac{f'g-fg'}{g^2} {/eq}

Answer and Explanation: 1

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To find the derivative indicated, h'(5), we need to know four values: the values of the numerator, the denominator, and their derivatives at 5. This...

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Quotient Rule: Formula & Examples

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Chapter 1 / Lesson 5
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What is the quotient rule? Read the definition of quotient rule and see the quotient rule formula, and practice applying it with some quotient rule examples.


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