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Exercise

ddt(ln⁡(t))\frac{d}{dt}\left(\ln\left(t\right)\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 af(x)=ln\:a (where aa is a function of xx), then f′(x)=a′a\displaystyle f'(x)=\frac{a'}{a}

1t\frac{1}{t}

Final answer to the exercise

1t\frac{1}{t}

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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ddxsin⁡(x2)\frac{d}{dx}\sin\left(x^2\right)

ddx(ln x)\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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