Question

The slope of the tangent line to the curve y = 2 \sqrt { x } at the point ( 6 , 4.8990 ) is

Answer 1

take derititive

2√x=
`2x^ (1)/(2)`
the deritive of that is
`(2)/(2)x^ (-1)/(2)= (1)/( √(x) )`

(6,4.8990)
x=6

`(1)/( √(6) ) = ( √(6) )/(6)` or aprox 0.4082

the slope is
`( √(6) )/(6)` or aprox 0.4082