Differentiating Exponential Functions with Calculators

Key Questions

• How do you use a calculator to find the derivative of `f(x)=e^(1-3x)` ?

  `f'(x)=-3*e^(1-3x)`

  Explanation :

  `f(x)=e^(1−3x)=e*e^(-3x)`

  This type of problems solve by Chain Rule.

  let's assume `y=e^(f(x))`

  then, using Chain Rule,

  `y'=e^(f(x))*f'(x)`

  Similarly, following for the given problem,

  `f'(x)=e*(-3)*e^(-3x)`

  `f'(x)=-3*e^(1-3x)`

  Gaurav · · Sep 6 2014

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• How do you use a calculator to find the derivative of `f(x)=e^(1-3x)` ?
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• How do you find the derivative of `ln(x+sqrt((x^2)-1))`?
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• How do you find the derivative of `ln (lnx)`?
• How do you differentiate `f(x) = e ^ (2(e^(t) - 1)`?