AP Calculus Free-Response Questions
NOTE: the derivative of a natural log function does not depend on the co-efficient of x. Thus, if . y = ln mx ( Proof. if y = ln mx m>0. Rules of Logs ( y = ln m+ ln x. Differentiating (Sum-Difference rule) Examples: 1) y = ln 5x (x>0) ( 2) y = ln(x2+2x+1) let v = (x2+2x+1) so y = ln v. Chain Rule: ( 3) y = x4lnx. Product Rule: (= = 4) y = ln ... ................
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