Derivative of 12^x

Answer

106549281⋅12x42878585\frac{106549281 \cdot 12^{x}}{42878585}
(106549281/42878585)*12^x

Derivative of 12^x

Rule Used
Exponential Rule
Steps
  1. Recognize the exponential 12^x. For e^x the derivative equals the original function. For a^x the factor ln⁡(a)\ln(a) appears, because a^x = ex⋅ln⁡(a)e^{x\cdot \ln(a)}.
  2. Apply the rule and keep that constant factor.
  3. Final answer: (106549281/42878585)*12^x

The derivative of 12^x is (106549281/42878585)*12^x.

Instant step-by-step solution for 12^x

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Derivative of 12^x = (106549281/42878585)*12^x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-12-minus-to-minus-the-minus-x

How to find the derivative of 12^x

To find the derivative of 12^x, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.

Frequently Asked Questions

What is the derivative of 12^x?▼
The derivative of 12^x is (106549281/42878585)*12^x.
How do you find the derivative of 12^x?▼
Apply the standard differentiation rules — the key rule used here is the Exponential Rule. The step-by-step result is (106549281/42878585)*12^x.
Why is the derivative of 12^x equal to (106549281/42878585)*12^x?▼
Because differentiation measures how a function changes — applying the rules to 12^x yields (106549281/42878585)*12^x. See the full step-by-step breakdown above.