Question

Please help immediately​

Answer 1

Answer:

The require gradient is 3/5

Step-by-step explanation:

y(x) = 5x/(2x^2+4).................(1)

y(sqrt(3)) = sqrt(3)/2 => (sqrt(3), sqrt(3)/2) is a point on the curve of (1)

differentiate y(x) with respect to x using the quotient rule to get

y'(x) = 20x^2/(2x^2+4)^2 ................(2)

substitute x = (sqrt(3), sqrt(3)/2) in (2)

y'(sqrt(3))

= 20(sqrt(3))^2 / (2(sqrt(3))^2 + 4)^2

= 20*3 / (10)^2

= 60 / 100

= 3/5