Category: Differentiation

Question Number 2070 by Rasheed Soomro last updated on 01/Nov/15 $$\frac{d}{dx}\left(\frac{d^{2}y}{{dx}^2}\right)=\frac{d^2}{{dx}^2}\left(\frac{dy}{dx}\right)$$$$y=?$$ Commented by 123456 last updated on…

Question Number 2035 by Rasheed Soomro last updated on 31/Oct/15 $$f\left(f{}^{\prime }\left(x\right)\right)=f{}^{\prime }\left(f\left(x\right)\right)$$$$f\left(x\right)=?$$ Commented by Yozzi last updated on 31/Oct/15 $${Try}\:{f}\left({x}\right)={e}^{{x}} .\:{f}^{'} \left({x}\right)={e}^{{x}}…

Question Number 2007 by Rasheed Soomro last updated on 29/Oct/15 $$Determine$$$$\left(i\right)\frac{d}{dx}\left(x^{\frac{1}{x}}\right)\left(ii\right)\int x^{\frac{1}{x}}dx$$ Answered by Yozzi last updated on 29/Oct/15 $${Let}\:{y}={x}^{\mathrm{1}/{x}}…

Question Number 2005 by Rasheed Soomro last updated on 29/Oct/15 $$Iff\left(x\right)andg\left(x\right)havenoconstanttermthen$$$$f{}^{\prime }\left(x\right)=g^{\prime }\left(x\right)\stackrel{?}{\Rightarrow }f\left(x\right)=g\left(x\right)?$$ Commented by prakash jain last updated on 30/Oct/15 $$\mathrm{If}\:{f}\left({x}\right)\neq{g}\left({x}\right)…

Question Number 67398 by mhmd last updated on 26/Aug/19 $$solvethedefrintioneguation({xp}^2-p+2x)=0$$$$whenp=dy/dx$$ Commented by mathmax by abdo last updated on 26/Aug/19 $${xy}^{''}…