Derivatives of Logarithms and L'Hopital's Rule

Related BrainMass Solutions

• L'Hopital's Rule & Indeterminate Functions

  Just in case..here are the top and bottom derivatives ln(lnx) = (1/x) / ln(x) and xlnx = lnx + x/x = lnx + 1 L'Hopital's Rule & Indeterminate Functions are investigated.

• L'Hopital's rule

  L'Hopital's Rule says that when we have such a 0/0
  indeterminacy, lim(f/g), the limit is equal to the limit when the derivatives of f and g is used, provided that g' is not equal to 0. Thus we can use lim(f'/g') to find the limit.

• Derivatives, Integrals, Limits and Convergence

  159988 Derivatives, Integrals, Limits and Convergence Please see the attached file for the fully formatted problems.

• Use of L'Hopital's rule

  52777 Use of L'Hopital's rule Please explain how to evaluate the limit lim/k arrow to 0 f(x = h) - f(x)/h using the rules for finding the derivative of f.

• Relating Transform of a Function and Transform of the Derivative

  Then I can maybe apply L'Hopital's rule to simplify and prove that ? Explanation.

• l'hopital and taylor series questions

  Expand the polynomial as a polynomial in powers of (x-1): That is, show that and find the values of the constants Solution: Take a = 1 P(1) = 3 + 2 - 1 + 1 = 5 Fourth and higher derivatives will be 0.

• Limits : L'Hopital's Rule

  Hence, we have L'Hopital's Rule is applied to finding limits. The solution is detailed and well presented.

• Application of L'Hopital's Rule

  570901 Application of L'Hopital's Rule Task: Graph the f(x) = e^2x - 1/x Verify the Limit x→0 f(x) meets the criteria for applying L'Hopital's Rule Find the Limit x→0 f(x) Explain why L'Hopital's Rule cannot be used to find the limit of Lim x→0 e^

• Derivatives of Logarithms

  96106 Derivatives of logarithms. Differentiate the functions: 1. f(x) = ln(x^2+10) (See attached file for full problem description) Please see the attached file. 1. CORRECT 2. 3. 4.