Question

. Find the slope tangent to the curve y=x(2-x) at 2,0​

Answer 1

Step-by-step explanation:

We have,

$y = x(2 - x)$

$= > y = 2x - {x}^{2}$

$= > \frac{dy}{dx} = 2 - 2x$

$= > (\frac{dy}{dx} )_{x = 2 \: \: and \: \: y = 0} = 2 - 4 = - 2$