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Added an example of using the quotient rule
It is easily remembered by the rhyme "Low 'D' High minus High 'D' Low, draw the line, and square below" (the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator all over the denominator squared).
It is easily remembered by the rhyme "Low 'D' High minus High 'D' Low, draw the line, and square below" (the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator all over the denominator squared).
==Example==
Let f(x) be the [[function]]:
<math>
f(x) = \frac{\sin{3x}}{x^2}
</math>
and suppose we want to find its derivative, f'(x). By applying the quotient rule we get:
<math>
f'(x) = \frac{x^2 \times (3 \cos{3x}) - \sin{3x} \times (2x)}{(x^2)^2}
</math>
and so the derivative of f(x) is simply:
<math>
f'(x) = \frac{3x \cos{3x} - 2\sin{3x}}{x^3}
</math>
==Rules for finding derivatives==
*[[Power rule]]
*[[Constant-multiple rule]]
*[[sum rule]]
*[[Chain rule]]
*[[Product rule]]
*[[Quotient rule]]
[[Category:Mathematics]]
[[Category:Calculus]]
[[Category:Calculus]]
[[Category:Mathematics]]
[[Category:Differentiation]]