Sunday

December 21, 2014

December 21, 2014

Posted by **Jake** on Sunday, January 8, 2012 at 4:43pm.

- ap calculus ab -
**Steve**, Sunday, January 8, 2012 at 5:54pmf'(x) = 1/x

so, at (e,1), the slope is 1/e

the line is thus

(y-1)/(x-e) = 1/e

y = 1/e (x-e) + 1

y = x/e

at x=3, the line has y-value

y = 3/e

y = 1.104

Actual value of ln3 = 1.099

Since the curve is concave down, it will lie below the tangent line, so any linear approximation using just the tangent line will be too high.

**Answer this Question**

**Related Questions**

Calculus - Use linear approximation, i.e. the tangent line, to approximate 8.4^(...

Calculus - Use linear approximation, i.e. the tangent line, to approximate 8.4...

Calculus (Tangent Line Approximation) - Use tangent line approximation to derive...

Calculus - Suppose f(x) is differentiable at x=a. What does tangent line ...

Calculus - Suppose f(x) is differentiable at x=a. What does tangent line ...

Calculus - Suppose f(x) is differentiable at x=a. What does tangent line ...

Calculus - Suppose f(x) is differentiable at x=a. What does tangent line ...

calculus - Let f be the function given by f(x)= x^2+4x-8. The tangent line to ...

Calculus - Use linear approximation, i.e. the tangent line, to approximate \sqrt...

Math - Use linear approximation, i.e. the tangent line, to approximate 1.6^3 as ...