Find the curve y=f(x) in the xy-plane that passes through the point (9,4) and whose slope at each point is 3#sqrt((x))# ?
1 Answer
Apr 7, 2018
Explanation:
Since the slope of the line is given by the derivative, the curve
#F(x) = 3sqrt(x) = 3x^(1/2)#
#f(x) = int F(x) dx = 2x^(3/2) +C#
The value of
The equation is therefore
Hopefully this helps!