Find an equation of the tangent line to the the graph of the function f(x) =

__(x^(1/2))(9-6x^2__)

x

when

*x*=4.

We note that, when *x*=4,

the corresponding point on the graph is given by (4,*f*(4))=(4, ___ ) and that the slope of the tangent line is *f* ′(4)=

Therefore the equation of the tangent line is *y* =

I'm not sure whether or not to cancel out the x's and have x^-1/2 at the top and then use the product rule. or use the quotient rule straightaway. Am I not seeing anything that's there?

I also get the slope 2.375

final equation I got (which is way off)

y = 2.375x-53

help would be appreciated!