Posted by **LI** on Sunday, December 11, 2011 at 8:56pm.

Determine the equation of the tangent line at the indicated -coordinate f(x)=e^(-2x)*in(8x) for x=2

The equation of the tangent line in slope-intercept form is y= ?

- calculus -
**Reiny**, Sunday, December 11, 2011 at 10:08pm
I read that as

f(x) = e^(-2x) ln(8x)

f'(x) = -2(e^(-2x) ln(8x) + (1/x) e^(-2x) , using the product rule

f(2) = .0508

f'(2) = -.0924

so we have a slope of -.0924 and the point (2,.0508

y = -.0924x + b

sub in the point

.0508 = -.0924(2) + b

b = .2356

y = -.0924x + .2356

(Was expecting "nicer" numbers)

## Answer This Question

## Related Questions

- Calculus - Determine the equation of the tangent line at the indicated -...
- Math - Suppose f(x)=5/(x-2). f'(5)=-5/9. Use this to find the equation of the ...
- calculus - Find the equation of the tangent line to the curve y=sqrt(x) at x = c...
- cal - find the equation of a quadratic function whose graph is tangent at x=1 to...
- Calculus - the slope of the tangent line to the curve y=(3/x) at the point (6,0....
- Calculus 251 - The slope of the tangent line to the curve y= 3x^3 at the point...
- calculus - The slope of the tangent line to the parabola y=4x2–6x+6 at the point...
- Calculus - Find the equation of the tangent to the graph of f(x)=2x^4 (to the ...
- Calculus - Find the slope m of the tangent line to the graph of the function at ...
- Calculus - Find the slope m of the tangent line to the graph of the function at ...

More Related Questions