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Question Number 42995 by srihari marta last updated on 06/Sep/18

Dear  Jr inter students use this firmulas                               Derivates              d/dx constant(k)=0    d/dx  x^n                     =n.x^(n−1)     d/dx  x^2                     =2x    d/dx  (√x)                    =1/2(√x)    d/dx  e^x                      =e^x        d/dx   a^x                     =a^x  loxa    d/dx  logx                 =1/x   _  d dx    1/x                  =−1/x^2

$${Dear}\:\:{Jr}\:{inter}\:{students}\:{use}\:{this}\:{firmulas} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{Derivates}\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:{d}/{dx}\:{constant}\left({k}\right)=\mathrm{0} \\ $$$$\:\:{d}/{dx}\:\:{x}^{{n}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:={n}.{x}^{{n}−\mathrm{1}} \\ $$$$\:\:{d}/{dx}\:\:{x}^{\mathrm{2}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{2}{x} \\ $$$$\:\:{d}/{dx}\:\:\sqrt{{x}}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{1}/\mathrm{2}\sqrt{{x}} \\ $$$$\:\:{d}/{dx}\:\:{e}^{{x}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:={e}^{{x}} \:\:\: \\ $$$$\:\:{d}/{dx}\:\:\:{a}^{{x}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:={a}^{{x}} \:{loxa} \\ $$$$\:\:{d}/{dx}\:\:{logx}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{1}/{x} \\ $$$$\underset{} {\:}\:{d}\:{dx}\:\:\:\:\mathrm{1}/{x}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=−\mathrm{1}/{x}^{\mathrm{2}} \\ $$$$ \\ $$$$ \\ $$

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