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Home Differentiation Derivatives of Rational Functions Theorem 6: Quotient Rule
 
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Theorem 6: Quotient Rule

THEOREM 6 (Quotient Rule)

Suppose u, v depend on x. Then for any value of x where du/dx, dv/dx exist and v ≠ 0,

02_differentiation-128.gif

PROOF We combine the Product Rule and the formula for d(1/v). Let y = u/v. We write y in the form

02_differentiation-129.gif

Then

02_differentiation-130.gif
Home Differentiation Derivatives of Rational Functions Theorem 6: Quotient Rule

Last Update: 2006-11-05