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Bsc maths derivative_formula
- 1. mathcity.org Merging man andmaths Some Important Derivative For Bachelor Level Available online @ http://www.mathcity.org, Version: 1.1.2 0 d c dx · = where c is constant 1n nd x nx dx - · = sin cos cos sin d x x dx d x x dx ì ïï í ï ïî · = · =- 2 2 tan sec cot csc d x x dx d x x dx · = · =- csc csc cot sec sec tan d x x x dx d x x x dx · =- · = 1 2 1 2 1 1 1 1 d Sin x dx x d Cos x dx x - - ì ï ï í ï ï î · = - - · = - 1 2 1 2 1 1 1 1 d Tan x dx x d Cot x dx x - - · = + - · = + 1 2 1 2 1 1 1 1 d Sec x dx x x d Csc x dx x x - - · = - - · = - lnx x x x d a a a dx d e e dx ì ïï í ï ïî · = · = 1 log ln 1 ln a d x dx x a d x dx x · = · = sinh cosh cosh sinh d x x dx d x x dx ì ïï í ï ïî · = · = 2 2 tanh sech coth csch d x x dx d x x dx · = · = - sech sech tanh csch csch coth d x x x dx d x x x dx · =- · =- 1 2 1 2 1 1 1 1 d Sinh x dx x d Cosh x dx x - - ì ï ï í ï ï î · = + · = - 1 2 1 2 1 1 1 1 d Tanh x dx x d Coth x dx x - - · = - · = - 1 2 1 2 1 1 1 1 d Sech x dx x x d Csch x dx x x - - - · = - - · = + Some Standard nth Derivative · ( ) ( )! ( ) ! n m nm n n d m ax b a ax b if m n dx m n - + = + ³ - · ( ) 1 1 !1 ( ) n nn n n n ad dx ax b ax b + æ ö ç ÷ è ø - = + + · ( )1 ( 1) 1 ! ln( ) ( ) n nn n n n ad ax b dx ax b - é ùë û - - + = + · n ax n ax n d e a e dx = · sin( ) sin . 2 n n n d ax b a ax b n dx pæ ö ç ÷ è ø + = + + · cos( ) cos . 2 n n n d ax b a ax b n dx pæ ö ç ÷ è ø + = + + · 2 2 12sin( ) ( ) sin tan nn ax ax n d b e bx c a b e bx c n dx a -æ ö ç ÷ è ø + = + + + · 2 2 12cos( ) ( ) cos tan nn ax ax n d b e bx c a b e bx c n dx a -æ ö ç ÷ è ø + = + + + Leibniz’s Theorem ( ) ( 1) ( 2) 1 0 1 2 1( ) n n n n n n n n n n n nnn d uv C u v C u v C u v C u v C uv dx - - - -¢ ¢¢ ¢= + + +××××××××××××××+ + Made by Atiq ur Rehman ( atiq@mathcity.org ) http://www.mathcity.org Submit errors at http://www.mathcity.org/error