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Unformatted text preview: x , and v(x) ≠ 0, then the quotient u/v is differentiable at x , and 2 v dx dv u dx du v v u dx d= Rule 7: Power Rule for Negative Integers If n is a negative integer and x ≠ 0, then d/dx (x n ) = nx n1 Rule 8: Power Chain Rule d/dx u n = nu n1 du/dx Implicit Differentiation Steps: 1. Differentiate both sides of the equation with respect to x , treating y as a differentiable function of x . 2. Collect the terms with dy/dx on the side of the equation. 3. Factor out dy/dx. 4. Solve for dy/dx by dividing. Derivatives of Trigonometric Functions d/dx ( sin x) = co s x d/dx ( cos x) = sin x d/dx (tan x) = sec 2 x d/dx (sec x) = sec x tan x d/dx( cot x) = csc 2 x d/dx ( csc x) = csc x cot x...
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 Fall '05
 levy
 Derivative, Power Rule, differentiable function, Constant Multiple Rule, n1 Rule

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