SOLUTION: Determine the gradient of the tangent to the following curve at the point where x=2 y=2x^1/2 - 2/x

Algebra ->  Length-and-distance -> SOLUTION: Determine the gradient of the tangent to the following curve at the point where x=2 y=2x^1/2 - 2/x      Log On


   

Question 986685: Determine the gradient of the tangent to the following curve at the point where x=2
y=2x^1/2 - 2/x
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
y = 2x^1/2 - 2/x
y = 2x^1/2 - 2x^-1
Differentiate:
dy/dx = x^-1/2 + 2x^-2
dy/dx = 1/x^1/2 + 2/x^2
Substitute x = 2
=1/sqrt2 + 2/(2)^2
= 1/sqrt2 + 2/4
= 1/sqrt2 + 1/2
= 1.2
The gradient = 1.2
Hope this helps :-)