Wednesday
December 11, 2013

# Homework Help: Calculus

Posted by Tyler on Thursday, June 20, 2013 at 9:17pm.

Find the linear approximation L(x) of
ln(x)at the point a = 12.

• Calculus - bobpursley, Friday, June 21, 2013 at 5:39am

L(x)=ln(z)+delta(x-z)*dL/dx

L(x)=ln(12)+1/12*(x-12)
so for example, what is Ln(13):
Ans: Ln(13)=ln(12)+1/12*1

checking that from a calculator:
ln(12)== 2.48490665
ln(13)== 2.56494936
difference 0.08004271
1/12== 0.0833333333

Related Questions

calculus - se differential, i.e., linear approximation, to approximate (8.4)^(1/...
Calculus - a.) Given that f(3)=5 and f'(x)=x/((x^3)+3), find the linear ...
calculus - Use the linear approximation (1+x)^k=1+kx to find an approximation ...
Calculus - Use the linear approximation (1+x)^k\approx 1+kx to find an ...
Math - a.) Given that f(3)=5 and f'(x)=x/((x^3)+3), find the linear ...
Math (linear approximation) - Find a linear approximation of the function f(x)=(...
Math - Use differential, i.e., linear approximation, to approximate (125.4^(1/3...
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 - The linear approximation at x = 0 to sin (5 x) is A + B x. Find A and...

Search
Members