Derivative of 5^x
Answer
(455321031/282906863)*5^x
Derivative of 5^x
- Rule Used
- Exponential Rule
- Steps
- Recognize the exponential 5^x. For e^x the derivative equals the original function. For a^x the factor appears, because a^x = .
- Apply the rule and keep that constant factor.
- Final answer: (455321031/282906863)*5^x
The derivative of 5^x is (455321031/282906863)*5^x.
Instant step-by-step solution for 5^x
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Derivative of 5^x = (455321031/282906863)*5^x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-5-minus-to-minus-the-minus-x
How to find the derivative of 5^x
To find the derivative of 5^x, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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Frequently Asked Questions
What is the derivative of 5^x?▼
The derivative of 5^x is (455321031/282906863)*5^x.
How do you find the derivative of 5^x?▼
Apply the standard differentiation rules — the key rule used here is the Exponential Rule. The step-by-step result is (455321031/282906863)*5^x.
Why is the derivative of 5^x equal to (455321031/282906863)*5^x?▼
Because differentiation measures how a function changes — applying the rules to 5^x yields (455321031/282906863)*5^x. See the full step-by-step breakdown above.