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Category: Differentiation

BeMath-0-1-x-9-2-1-x-5-2-dx-

Question Number 107923 by bemath last updated on 13/Aug/20 $$\:\:\:\:\:\frac{\circledcirc\mathbb{B}{e}\mathcal{M}{ath}\circledcirc}{} \\ $$$$\:\:\:\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:{x}^{\frac{\mathrm{9}}{\mathrm{2}}} \:\left(\mathrm{1}−{x}\right)^{\frac{\mathrm{5}}{\mathrm{2}}} \:{dx}\:? \\ $$ Answered by 1549442205PVT last updated on 13/Aug/20…

JS-A-metal-box-without-top-is-tobe-contructed-from-a-square-sheet-of-metal-that-is-10-dm-on-the-side-by-first-cutting-the-square-pieces-of-the-same-size-from-the-corners-of-the-sheet-and-foldin

Question Number 107658 by john santu last updated on 12/Aug/20 $$\:\:\:\divideontimes\mathcal{JS}\divideontimes \\ $$$${A}\:{metal}\:{box}\:\left({without}\:{top}\right)\:{is}\:{tobe} \\ $$$${contructed}\:{from}\:{a}\:{square}\:{sheet} \\ $$$${of}\:{metal}\:{that}\:{is}\:\mathrm{10}\:{dm}\:{on}\:{the} \\ $$$${side}\:{by}\:{first}\:{cutting}\:{the}\:{square} \\ $$$${pieces}\:{of}\:{the}\:{same}\:{size}\:{from}\:{the} \\ $$$${corners}\:{of}\:{the}\:{sheet}\:{and}\:{folding} \\ $$$${up}\:{sides}.\:{what}\:{size}\:{squares}…

BobHans-find-the-formula-d-3-dx-3-g-f-x-

Question Number 107647 by bobhans last updated on 12/Aug/20 $$\:\:\:\:\:\:\:\asymp\mathcal{B}\mathrm{ob}\mathcal{H}\mathrm{ans}\asymp \\ $$$$\:\mathrm{find}\:\mathrm{the}\:\mathrm{formula}\:\frac{\mathrm{d}^{\mathrm{3}} }{\mathrm{dx}^{\mathrm{3}} }\left[\mathrm{g}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\right] \\ $$ Answered by john santu last updated on 12/Aug/20 $$\:\:\:\:\:\square\mathcal{JS}\square…

Question-107461

Question Number 107461 by Don08q last updated on 10/Aug/20 Commented by john santu last updated on 11/Aug/20 $$\left({iii}\right)\:{y}={x}^{\mathrm{3}} +\left({k}+\mathrm{2}\right){x}^{\mathrm{2}} −\mathrm{3}{kx}+\mathrm{5} \\ $$$$\Rightarrow{y}'=\mathrm{3}{x}^{\mathrm{2}} +\mathrm{2}\left({k}+\mathrm{2}\right){x}−\mathrm{3}{k} \\ $$$$\Rightarrow\Delta=\:\mathrm{4}\left({k}+\mathrm{2}\right)^{\mathrm{2}}…

Question-172785

Question Number 172785 by mnjuly1970 last updated on 01/Jul/22 Answered by Eulerian last updated on 01/Jul/22 $$\: \\ $$$$\:\mathrm{Note}:\:\:\mathrm{H}_{\mathrm{n}−\mathrm{1}} \:=\:\gamma\:+\:\psi^{\left(\mathrm{0}\right)} \left(\mathrm{n}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{H}_{\mathrm{n}−\mathrm{1}} \:=\:\mathrm{H}_{\mathrm{n}} \:−\:\frac{\mathrm{1}}{\mathrm{n}}…