Important formulas of functions , Mathematics

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Important formulas

d (ab )/ dx  = 0                              This is a constant

d ( xn ) / dx = nxn -1                      Power Rule

d (a x ) / dx = a x ln a                     Derivative of an exponential function

d ( x x )/dx = x x (1 + ln x )            Logarithmic Differentiation

It is sometimes easy to get these several functions confused & use the wrong rule for differentiation.  Always remember that each rule has extremely particular rules for where the variable & constants must be.  For instance, the Power Rule needs that the base be a variable and the exponent are a constant, whereas the exponential function needs accurately the opposite.

If you can keep straight all of the rules you can't go wrong along with these.

 


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