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(x-x0)+y0

If you have difficulties finding the derivative of f(x), post for more information.

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