Category: Differentiation

Question Number 28305 by NECx last updated on 23/Jan/18 $$ify={\sin }^{-1}{x}^2+{\cos }^{-1}{x}^2$$$$finddy/dx$$ Commented by abdo imad last updated on 23/Jan/18…

Question Number 93837 by mhmd last updated on 15/May/20 Commented by i jagooll last updated on 15/May/20 $$\mathrm{t}=2\Rightarrow \mathrm{x}=6$$$${\frac{\mathrm{dy}}{\mathrm{dx}}={3\mathrm{x}}^2-4\mathrm{x}]}_{\mathrm{x}=6}$$$$=3\left(36\right)-24=108-24$$$$=\mathrm{84}…

Question Number 28199 by NECx last updated on 21/Jan/18 $$supposeoneofthesideofany$$$$boxthatcanbecarriedontoan$$$$airplanemustbelessthan8m.$$$$Findthemaximumvalueofsuch$$$$aboxifthesumofthethreesides$$$$cannotexceed46m.$$ Answered by mrW2…

Question Number 93725 by ckkim89 last updated on 14/May/20 Answered by Rio Michael last updated on 14/May/20 $$\mathrm{let}y=f\left(x\right)\Rightarrow y={\cos }^{-1}(-3x)$$$$\Rightarrow \cos y=-3x$$$$\Rightarrow -\sin yy{}^{\prime }=-3$$$$\Rightarrow\:{y}'\:=\:\frac{\mathrm{3}}{\mathrm{sin}\:{y}}…

Question Number 93555 by mhmd last updated on 13/May/20 Commented by prakash jain last updated on 13/May/20 $$\underset{i=1}{\sum ^n}\left(\begin{array}{c}n\\ i\end{array}\right)a^i{b}^{n-i}={(a+b)}^n$$$$\mathrm{Comparing}\:\mathrm{with}\:\mathrm{the}\:\mathrm{question} \…