Times New RomanTimes New Roman1 KeyContent1 (f+g)'[x] f'[x] + g'[x] (k f)'[x]k f'[x] (f*g)'[x]f'[x] g[x] + f[x] g'[x] (f / g)'[x]'( f'[x] g[x] - f[x] g'[x] ) / g[x]Derivative of a constant0Derivative of x1Derivative of n*xnDerivative of x^nHn*x^(n-1) /* Function loses power as derivation goes on and on ... */Derivative of e^xe^xDerivative of a^x a^x * ln[a]Derivative of sin[x]cos[x]Derivative of cos[x]0- sin[x] /* cos is digging into sin's ribs */Derivative of tan[x]T1 / cos[x] 1 + tan[x] /* Need not be memorized since tan = sin / cos ... */#Derivative of ln[ abs[ sin[x] ] ]cot[x]#Derivative of ln[ abs[ cos[x] ] ]/- tan[x] /* this cos always messing up ...*/Derivative of cotan[x]H- 1 / sin[x] /* Need not be memorized since tan = sin / cos ... */Derivative of arcsin[x]1 / SQRT [1 - x]Derivative of arccos[x]K- 1 / SQRT [1 - x] /* arccos is as negative as cos in formulas */Derivative of arctan[x] 1 / (x + 1)9Derivative of ln[ abs[x] ] /* that is log_e ... */1 / xDerivative of sh[x]ch[x]Derivative of ch[x]Gsh[x] /*unlike cos'[x] = - sin[x], this kinda cosine is tamed ... */Derivative of th[x]1 / ch[x] /* like tan */Derivative of cth[x]- 1 / sh[x] /*like cotan */"Derivative of ln[ abs[ ch[x] ] ]Jth[x] /* unlike ln[ abs[ cos[x] ] ] = - tan[x], this one's tamed ... */"Derivative of ln[ abs[ sh[x] ] ]cth[x]&Derivative of ln[ abs[ th[ x/2 ] ] ] 1 / sh[x]Derivative of 2 arctan[ e^x ] 1 / ch[x]'Derivative of ln[ abs[ (x-1)/(x+1) ]] 1 / (x - 1)2Derivative of ln[ abs[x + SQRT[x plusminus 1]]]1 / SQRT[x plusminus 1]#Derivative of ln[ abs[tan (x/2)]] 1 / sin[x],Derivative of ln[ abs[tan[ x/2 + Pi/4 ]] ] 1 / cos[x]