Category: Differentiation

Question Number 90299 by zainal tanjung last updated on 22/Apr/20 $$\mathrm{help}\mathrm{me}$$$$$$$$\mathrm{z}(\mathrm{x},\mathrm{y})=\mathrm{xy}.\ln \mathrm{xy}$$$${\mathrm{z}}_{\mathrm{x}}^{{}^{\prime }}=\dots ?\mathrm{and}{\mathrm{z}}_{\mathrm{y}}^{\prime }=\dots ?$$ Terms of Service…

Question Number 24680 by chernoaguero@gmail.com last updated on 24/Nov/17 Commented by mrW1 last updated on 24/Nov/17 Commented by chernoaguero@gmail.com last updated on 25/Nov/17 $$\mathrm{Thank}\:\mathrm{u}\:\mathrm{sir} \…

Question Number 155477 by alcohol last updated on 01/Oct/21 Answered by puissant last updated on 01/Oct/21 $$a)\mathrm{\forall }n\in \mathbb{N},f\left(n\right)=nf\left(1\right)$$$$$$$$f\left(2\right)=f(1+1)=f\left(1\right)+f\left(1\right)=2f\left(1\right)$$$$alors,onmontreparrecurrenceque$$$${f}\left({n}\right)={nf}\left(\mathrm{1}\right)..…

Question Number 89805 by jagoll last updated on 19/Apr/20 $$\mathrm{find}\mathrm{minimum}\mathrm{and}\mathrm{maximum}$$$$\mathrm{value}\mathrm{of}\mathrm{f}(\mathrm{x},\mathrm{y})={\mathrm{x}}^2-{\mathrm{y}}^2$$$$\mathrm{with}\mathrm{constraint}{\mathrm{x}}^2+{\mathrm{y}}^2=1$$$$\mathrm{with}\mathrm{Lagrange}\mathrm{method}$$ Commented by john santu…

Question Number 155281 by mnjuly1970 last updated on 28/Sep/21 $$$$$$f:[0,6]\to [-4,4]$$$$f\left(0\right)=0$$$$f\left(6\right)=4$$$$x,y⩾0,x+y⩽6$$$$f(x+y)=\frac{1}{4}\{f\left(x\right)\sqrt{16-{\left(f\left(y\right)\right)}^2}+f\left(y\right)\sqrt{16-{\left(f\left(x\right)\right)}^2}\}$$$$\:\:\therefore\:\:\:\left(\:{f}\left(\mathrm{1}\right)\:+{f}\:\left(\mathrm{3}\right)\right)^{\:\mathrm{2}} =?…