Derivative of e^x/x^3

Instant step-by-step solution for e^x/x^3

Solution

AI Explanation

Rule used: Quotient Rule.

Step-by-Step

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Derivative of e^x/x^3

Answer
-3*e^x*x^(-4)+e^x*x^(-3)
Rule Used
Quotient Rule
Steps
  1. Identify a quotient of two functions: use the quotient rule (u/v)' = (u'v − uv')/v².
  2. Differentiate numerator and denominator, then combine.
  3. Final answer: -3*e^x*x^(-4)+e^x*x^(-3)
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Derivative of e^x/x^3 = -3*e^x*x^(-4)+e^x*x^(-3) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-e-minus-to-minus-the-minus-x-minus-over-minus-x-minus-to-minus-the-minus-3

How to find the derivative of e^x/x^3

To find the derivative of e^x/x^3, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.