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Category: Differential Equation

differentiate-each-function-from-first-principle-1-f-x-1-1-x-2-f-x-1-2x-3-3-f-x-sin2x-4-f-x-co2x-

Question Number 11920 by carrot last updated on 05/Apr/17 $${differentiate}\:{each}\:{function}\:{from}\:{first}\:{principle} \\ $$$$\left.\mathrm{1}\right){f}\:\left({x}\right)\:=\:\mathrm{1}+\frac{\mathrm{1}}{{x}} \\ $$$$\left.\mathrm{2}\right){f}\left({x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}{x}+\mathrm{3}}\: \\ $$$$\left.\mathrm{3}\right)\:{f}\left({x}\right)={sin}\mathrm{2}{x} \\ $$$$\left.\mathrm{4}\right){f}\left({x}\right)={co}\mathrm{2}{x} \\ $$$$ \\ $$ Answered by sandy_suhendra…

The-function-f-x-acosx-b-where-a-lt-0-has-a-maximum-value-of-8-and-a-minimum-value-of-2-Find-a-b-

Question Number 11050 by lepan last updated on 09/Mar/17 $${The}\:{function}\:{f}\left({x}\right)={acosx}+{b}\:{where} \\ $$$${a}<\mathrm{0}\:{has}\:{a}\:{maximum}\:{value}\:{of}\:\mathrm{8}\:{and} \\ $$$${a}\:{minimum}\:{value}\:{of}\:−\mathrm{2}.\boldsymbol{{F}}{ind}\:{a}+{b}. \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Answered by Mahmoud…

y-6y-9y-9x-2-e-3x-cos-3x-

Question Number 141849 by iloveisrael last updated on 24/May/21 $$\:\:\:\:\:{y}''−\mathrm{6}{y}'+\mathrm{9}{y}\:=\:\mathrm{9}{x}^{\mathrm{2}} \:{e}^{\mathrm{3}{x}} \:\mathrm{cos}\:\left(\mathrm{3}{x}\right)\:\: \\ $$ Answered by qaz last updated on 24/May/21 $${y}''−\mathrm{6}{y}'+\mathrm{9}{y}=\mathrm{9}{x}^{\mathrm{2}} {e}^{\mathrm{3}{x}} \mathrm{cos}\:\left(\mathrm{3}{x}\right) \\…