02.28.2017. Tuesday
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 Mathematical analysis
Important functions
⦿ Linear polynomial function
⦿ Quatratic polynomial function
⦿ Cubic polynomial function
⦿ Rational function
⦿ Root function with even radical
⦿ Root function with odd radical
⦿ Exponential function
⦿ Logarithmic function
⦿ Sine function
⦿ Cosine function
⦿ Tangent function
⦿ Cotangent function
⦿ Absolute value functions
Dervation
⦿ Table of Derivatives
⦿ Differentiation rules
Integration
⦿ Table of Integrals
⦿ Integration Rules


Dervation

Table of Derivatives

d d x ( x n ) = n x n 1 , n 0
d d x ( a x ) = a x l n a
d d x ( e x ) = e x
d d x ( l o g a x ) = 1 l n a · 1 x
d d x ( l n x ) = 1 x
d d x ( s i n x ) = c o s x
d d x ( c o s x ) = s i n x
d d x ( t g x ) = 1 c o s 2 x
d d x ( c t g x ) = 1 s i n 2 x
d d x ( a r c s i n x ) = 1 1 x 2
d d x ( a r c c o s x ) = 1 1 x 2
d d x ( a r c t g x ) = 1 1 + x 2
d d x ( a r c c t g x ) = 1 1 + x 2
d d x ( s h x ) = c h x
d d x ( c h x ) = s h x
d d x ( t h x ) = 1 c h 2 x
d d x ( c t h x ) = 1 s h 2 x
d d x ( a r s h x ) = 1 1 + x 2
d d x ( a r c h x ) = 1 x 2 1