Question Number 158064 by zainaltanjung last updated on 30/Oct/21
$$ \\ $$$$ \\ $$$$\mathrm{Make}\:\mathrm{tangen}\:\mathrm{line}\:\mathrm{at}\:\mathrm{point}\: \\ $$$$\left(\mathrm{2},\mathrm{3}\right).\: \\ $$$$ \\ $$
Answered by ajfour last updated on 30/Oct/21
![say point is (p, 2p−p^2 ) (dy/dx)=2−2x=2(1−x) tangent line at P [p, f(p)] is y−f(p)=2(1−p)(x−p) ■](Q158070.png)
$${say}\:{point}\:{is}\:\:\left({p},\:\mathrm{2}{p}−{p}^{\mathrm{2}} \right) \\ $$$$\frac{{dy}}{{dx}}=\mathrm{2}−\mathrm{2}{x}=\mathrm{2}\left(\mathrm{1}−{x}\right) \\ $$$${tangent}\:{line}\:{at}\:{P}\:\left[{p},\:{f}\left({p}\right)\right]\:{is} \\ $$$${y}−{f}\left({p}\right)=\mathrm{2}\left(\mathrm{1}−{p}\right)\left({x}−{p}\right)\:\blacksquare \\ $$$$ \\ $$
Commented by zainaltanjung last updated on 31/Oct/21
$$\mathrm{I}\:\mathrm{am}\:\mathrm{sorry}\:....\mathrm{the}\:\mathrm{tangen}\:\mathrm{line} \\ $$$$\mathrm{pass}\:\mathrm{point}\:\left(\mathrm{2},\mathrm{0}\right).\:\mathrm{not}\:\mathrm{point}\:\left(\mathrm{2},\mathrm{3}\right).\: \\ $$
Commented by ajfour last updated on 31/Oct/21
$${I}\:{am}\:{also}\:{sorry}. \\ $$
Commented by zainaltanjung last updated on 31/Oct/21
$$\mathrm{Don}'\mathrm{t}\:\mathrm{worry}. \\ $$