Menu Close

Category: Differentiation

nice-calculus-simplify-x-sin-x-2-1-2-m-1-n-cos-mx-

Question Number 140498 by mnjuly1970 last updated on 08/May/21 $$\:\:\:\:\:\:……..\:{nice}\:\:\:…….\:\:{calculus}……. \\ $$$$\:\:\:\:\:\:{simplify}: \\ $$$$\:\:\:\:\boldsymbol{\phi}\left({x}\right):=\:{sin}\left(\frac{{x}}{\mathrm{2}}\right)\left(\mathrm{1}+\mathrm{2}\underset{{m}=\mathrm{1}} {\overset{{n}} {\sum}}{cos}\left({mx}\right)\right) \\ $$$$\:\:\:\: \\ $$ Answered by Dwaipayan Shikari last…

Differentiate-from-the-first-principle-y-tan2x-

Question Number 9306 by tawakalitu last updated on 29/Nov/16 $$\mathrm{Differentiate}\:\mathrm{from}\:\mathrm{the}\:\mathrm{first}\:\mathrm{principle}: \\ $$$$\mathrm{y}\:=\:\mathrm{tan2x} \\ $$ Answered by mrW last updated on 30/Nov/16 $$\mathrm{y}\left(\mathrm{x}\right)=\mathrm{tan}\:\left(\mathrm{2x}\right) \\ $$$$\mathrm{y}\left(\mathrm{x}+\mathrm{h}\right)=\mathrm{tan}\:\left(\mathrm{2x}+\mathrm{2h}\right)=\frac{\mathrm{tan}\:\left(\mathrm{2x}\right)+\mathrm{tan}\:\left(\mathrm{2h}\right)}{\mathrm{1}−\mathrm{tan}\:\left(\mathrm{2x}\right)×\mathrm{tan}\:\left(\mathrm{2h}\right)} \\…

My-friends-can-you-help-me-f-x-y-x-3-y-7-4e-x-y-Find-a-2-f-x-y-b-2-f-2-y-x-Please-

Question Number 140363 by cesarL last updated on 06/May/21 $${My}\:{friends}\:{can}\:{you}\:{help}\:{me}? \\ $$$${f}\left({x},{y}\right)={x}^{\mathrm{3}} {y}^{\mathrm{7}} −\mathrm{4}{e}^{{x}−{y}} \\ $$$${Find}: \\ $$$$\left.{a}\right)\:\frac{\partial^{\mathrm{2}} {f}}{\partial{x}\partial{y}}=? \\ $$$$\left.{b}\right)\:\frac{\partial^{\mathrm{2}} {f}^{\mathrm{2}} }{\partial{y}\partial{x}}=? \\ $$$${Please}…

Differentiate-sin-x-from-the-first-principle-

Question Number 9231 by tawakalitu last updated on 24/Nov/16 $$\mathrm{Differentiate}\::\:\:\mathrm{sin}\sqrt{\mathrm{x}}\:\:\:\:\mathrm{from}\:\mathrm{the} \\ $$$$\mathrm{first}\:\mathrm{principle}. \\ $$ Answered by mrW last updated on 29/Nov/16 $$\mathrm{y}\left(\mathrm{x}\right)=\mathrm{sin}\:\sqrt{\mathrm{x}} \\ $$$$\mathrm{y}\left(\mathrm{x}+\mathrm{h}\right)=\mathrm{sin}\:\sqrt{\mathrm{x}+\mathrm{h}} \\…