The nth Derivative is denoted as n n n df fx dx and is defined as fx f x nn 1 , i.e. Anti-Derivative : An anti-derivative of f x( ) is a function, Fx( ), such that F x f x′( )= ( ). Quotient Rule: f g 0 = f0g 0fg g2 5. Higher Order Derivatives The Second Derivative is denoted as 2 2 2 df fx f x dx and is defined as fx fx , i.e. Indefinite Integral :∫f x dx F x c( ) = +( ) where Fx( ) is an anti-derivative of f x( ). Common Derivatives and Integrals Visit http://tutorial.math.lamar.edu for a complete set of Calculus I & II notes. Symbolab Derivatives Cheat Sheet Derivative Rules: :Power Rule: ;=⋅−1 ;Derivative of a Constant: :=0 2Sum/Difference Rule: the derivative of the first derivative, fx . Higher Order Derivatives The Second Derivative is denoted as ( ) ( )( ) 2 2 2 df fx f x dx ′′ = =and is defined as f x fx′′ ′( )=( ( ))′, i.e. © 2005 Paul Dawkins Inverse Trig Functions 1 22 Power Rule: d dx (xn) = nxn 1 3. Derivatives Cheat Sheet Derivative Rules 1. Math Cheat Sheet for Derivatives. One Time Payment \$10.99 USD for 2 months: Weekly Subscription \$1.99 USD per week until cancelled: Monthly Subscription \$4.99 USD per month until cancelled: Annual Subscription \$29.99 USD per year until cancelled \$29.99 USD per year until cancelled the derivative of Constant Rule: d dx (c) = 0; where c is a constant 2. Product Rule: (fg)0 = f0g +fg0 4. the derivative of the first derivative, fx′( ).

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