Posted by jenny on Thursday, November 5, 2009 at 5:53pm.
The linear approximation at x=0 to f(x)= sqrt (7+6x) is y=

calculus  MathMate, Thursday, November 5, 2009 at 6:35pm
for f(x)=sqrt(7+6x)
Calculate the slope at x0=0, i.e.
m=f'(x0)=f'(0)
and the value of y0=f(x0) to give the tangent point (x0, f(x0))=(0,f(0))
The linear approximation at x=0 is given by
y = m(xx0)+y0
If you have difficulties finding the derivative of f(x), post for more information.