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Exercise

$\frac{d}{dx}\left(ln\:x\right)$

Step-by-step Solution

1

The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If $f(x)=ln\:a$ (where $a$ is a function of $x$), then $\displaystyle f'(x)=\frac{a'}{a}$

$\frac{1}{x}$

Final answer to the exercise

$\frac{1}{x}$

Try other ways to solve this exercise

  • Choose an option
  • Find the derivative using the definition
  • Find the derivative using the product rule
  • Find the derivative using the quotient rule
  • Find the derivative using logarithmic differentiation
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
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Similar Questions Solved

$\frac{d}{dx}\left(ln\left(tan\left(x\right)\right)\right)$

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$\frac{d}{dx}\ln\left(x^2\right)$

$\frac{d}{dx}\sin\left(x^2\right)$

$\frac{d}{dx}\left(ln\:x\right)$

Main Topic: Basic Differentiation Rules

Some differentiation rules are very easy to remember and use. These are the basic ones: constant rule, sum rule, product rule and quotient rule.

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