Category: Differentiation

Question Number 124845 by liberty last updated on 06/Dec/20 $$f\left(x\right)=\sin \left(\frac{x}{x-\sin \left(\frac{x}{x-\sin x}\right)}\right)$$$$\frac{df\left(x\right)}{dx}?$$ Answered by bemath last updated on 06/Dec/20 $${f}\:'\left({x}\right)=\frac{\mathrm{1}\left({x}−\mathrm{sin}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:{x}}\right)\right)−{x}\left(\mathrm{1}−\left(\frac{{x}−\mathrm{sin}\:{x}−{x}\left(\mathrm{1}−\mathrm{cos}\:{x}\right)}{\left({x}−\mathrm{sin}\:{x}\right)^{\mathrm{2}} }\right)\mathrm{cos}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:{x}}\right)\right.}{\left({x}−\mathrm{sin}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:{x}}\right)\right)^{\mathrm{2}} }.\:\mathrm{cos}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:{x}}\right)}\right) \…

Question Number 124796 by Engr_Jidda last updated on 06/Dec/20 $$\mathrm{find}\mathrm{the}\mathrm{solution}\mathrm{of}\mathrm{this}\mathrm{equation}\mathrm{interms}$$$$\mathrm{bessels}\mathrm{function}.$$$${\mathrm{y}}^{{}^{″}}+(1+\frac{1-{4\mathrm{k}}^2}{{4\mathrm{x}}^2})\mathrm{y}=0$$ Terms of Service Privacy Policy Contact:…

Question Number 59220 by Aditya789 last updated on 06/May/19 $$\mathrm{find}\mathrm{the}\mathrm{minimum}\mathrm{value}\mathrm{of}$$$$\mathrm{y}=\frac{{\mathrm{b}}^2}{{\sin }^2\mathrm{x}}+\frac{{\mathrm{a}}^2}{{\cos }^2\mathrm{x}}$$ Answered by MJS last updated on 06/May/19…

Question Number 59171 by maxmathsup by imad last updated on 05/May/19 $$letf(x,y)\frac{arctan(x+2y)}{x+y^2}$$$$calculate\frac{\partial f}{\partial x}(x,y),\frac{\partial f}{\partial y}(x,y),\frac{{\partial }^{2}f}{\partial x^2}(x,y),\frac{{\partial }^{2}f}{\partial y^2}(x,y),\frac{{\partial }^{2}f}{\partial x\partial y}(x,y)$$$$\frac{{\partial }^{2}f}{\partial y\partial x}(x,y)$$…

Question Number 124666 by benjo_mathlover last updated on 05/Dec/20 $$Findthevolumethatremains$$$$aftertheholeofradius1bored$$$$throughthecenterofasolid$$$$sphereofradius3.$$$$\left(a\right)18\pi \left(b\right)\frac{28}{3}\pi \left(c\right)36\pi \left(d\right)\frac{56\pi }{3}$$$$$$$$$$ Commented…