Derivative of 10^x
Answer
10^x*ln(10)
Derivative of 10^x
- Rule Used
- Exponential Rule
- Steps
- Recognize the exponential 10^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: 10^x*
The derivative of 10^x is 10^x*ln(10).
Instant step-by-step solution for 10^x
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Derivative of 10^x = 10^x*ln(10) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-10-minus-to-minus-the-minus-x
How to find the derivative of 10^x
To find the derivative of 10^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 10^x?▼
The derivative of 10^x is 10^x*ln(10).
How do you find the derivative of 10^x?▼
Apply the standard differentiation rules — the key rule used here is the Exponential Rule. The step-by-step result is 10^x*ln(10).
Why is the derivative of 10^x equal to 10^x*ln(10)?▼
Because differentiation measures how a function changes — applying the rules to 10^x yields 10^x*ln(10). See the full step-by-step breakdown above.