General_Differentiation_Rules

General_Differentiation_Rules - x x dx d cosh sinh = x x dx...

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Derivatives General Differentiation Rules 0 = c dx d ) ( ' ) ( x cf x cf dx d = ) ( ' ) ( ' )] ( ) ( [ x g x f x g x f dx d + = + ) ( ' ) ( ' )] ( ) ( [ x g x f x g x f dx d + = Product Rule: ) ( ' ) ( ) ( ' ) ( )] ( ) ( [ x f x g x g x f x g x f dx d + = Quotient Rule: 2 )] ( [ ) ( ' ) ( ) ( ' ) ( ) ( ) ( x g x g x f x f x g x g x f dx d + = Chain Rule: ) ( ' )) ( ( ' )) ( ( x g x g f x g f dx d = Power Rule: 1 = n n nx x dx d Common Derivatives Exponential and Logarithmic x x e e dx d = x x dx d 1 ln = a a a dx d x x ln = a x x dx d a ln 1 log = Trigonometric x x dx d cos sin = x x dx d sin cos = x x dx d 2 sec tan = x x x dx d cot csc csc = x x x dx d tan sec sec = x x dx d 2 csc cot = Inverse Trigonometric 2 1 1 1 sin x x dx d = 2 1 1 1 cos x x dx d = 2 1 1 1 tan x x dx d + = 1 1 csc 2 1 = x x x dx d 1 1 sec 2 1 = x x x dx d 2 1 1 1 cot x x dx d + = Prepared by: M Stuart 5/24/2004
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Derivatives Prepared by: M Stuart 5/24/2004 Hyperbolic
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Unformatted text preview: x x dx d cosh sinh = x x dx d sinh cosh = x h x dx d 2 sec tanh = x hx hx dx d coth csc csc = x hx hx dx d tanh sec sec = x h x dx d 2 csc coth = Inverse Hyperbolic 2 1 1 1 sinh x x dx d + = 1 1 cosh 2 1 = x x dx d 2 1 1 1 tanh x x dx d + = 2 1 1 1 csc x x x h dx d + = 2 1 1 1 sec x x x h dx d = 2 1 1 1 coth x x dx d =...
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This note was uploaded on 03/10/2011 for the course ENGR 101 taught by Professor Patriciaralston during the Fall '08 term at University of Louisville.

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General_Differentiation_Rules - x x dx d cosh sinh = x x dx...

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