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Category: Differentiation

closest-distance-point-6-9-to-curve-y-x-2-12x-32-mister-w-your-method-can-be-applied-to-this-problem-

Question Number 83520 by john santu last updated on 03/Mar/20 $$\mathrm{closest}\:\mathrm{distance}\:\mathrm{point}\:\left(\mathrm{6},\mathrm{9}\right)\: \\ $$$$\mathrm{to}\:\mathrm{curve}\:\mathrm{y}\:=\:\mathrm{x}^{\mathrm{2}} −\mathrm{12x}+\mathrm{32}\:. \\ $$$$\mathrm{mister}\:\mathrm{w}\:\mathrm{your}\:\mathrm{method}\:\mathrm{can}\:\mathrm{be}\: \\ $$$$\mathrm{applied}\:\mathrm{to}\:\mathrm{this}\:\mathrm{problem}? \\ $$ Answered by john santu last…

find-minimum-value-of-x-y-x-3-2-y-1-2-

Question Number 83511 by jagoll last updated on 03/Mar/20 $$\mathrm{find}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mid\mathrm{x}−\mathrm{y}\mid\:+\sqrt{\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}} +\left(\mathrm{y}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Answered by john santu last updated on 03/Mar/20 $$\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{we}\:\mathrm{get}\:\mathrm{when}\:…

d-dx-a-bx-c-dx-

Question Number 83500 by 20092104 last updated on 03/Mar/20 $$\frac{{d}}{{dx}}\left(\left({a}+{bx}\right)^{{c}+{dx}} \right) \\ $$ Answered by john santu last updated on 03/Mar/20 $$\mathrm{let}\:\mathrm{y}\:=\:\left(\mathrm{a}+\mathrm{bx}\right)^{\mathrm{c}+\mathrm{dx}} \\ $$$$\mathrm{ln}\:\mathrm{y}\:=\:\left(\mathrm{c}+\mathrm{dx}\right)\:\mathrm{ln}\:\left(\mathrm{a}+\mathrm{bx}\right) \\…

Question-148894

Question Number 148894 by Integrals last updated on 01/Aug/21 Commented by Tinku Tara last updated on 01/Aug/21 $$\mathrm{If}\:\mathrm{you}\:\mathrm{update}\:\mathrm{to}\:\mathrm{latest}\:\mathrm{verion}.\:\mathrm{There} \\ $$$$\mathrm{will}\:\mathrm{not}\:\mathrm{be}\:\mathrm{any}\:\mathrm{watermark}\:\mathrm{as}\:\mathrm{app}\:\mathrm{is} \\ $$$$\mathrm{now}\:\mathrm{free}. \\ $$ Terms…

f-x-x-2-a-1-x-2a-2-1-is-differentiable-on-1-2-find-the-value-s-of-a-

Question Number 148860 by mnjuly1970 last updated on 31/Jul/21 $$ \\ $$$$\:\:\:{f}\left({x}\right):=\:\mid\:{x}^{\:\mathrm{2}} −\:\left({a}+\mathrm{1}\right){x}\:+\mathrm{2}{a}^{\:\mathrm{2}} −\mathrm{1}\mid \\ $$$$\:\:\:\:{is}\:{differentiable}\:{on}\:\left(\:\mathrm{1},\:\mathrm{2}\:\right). \\ $$$$\:\:{find}\:{the}\:{value}\left({s}\right)\:{of}\:\:'\:\:{a}\:\:'\:. \\ $$$$\:\:…….. \\ $$ Terms of Service…