How do you find the Linear Approximation at x=0 of #y=sqrt(3+3x)#?
1 Answer
I got:
Explanation:
The Linear Approximation should be a line that can substitute (in a narrow interval) your curve.
To find the equation of this line we need to find the slope
The slope can be found deriving our function and evaluating the derivative at
At
This will be the slope
The coordinate
So, the line through our point and having slope
Or
Graphically:
Where the red line will be the linear approximation while the blue our original function.