Derivative of e^(9x)+x^5
Answer
5*x^4+9*e^(9*x)
Derivative of e^(9x)+x^5
- Rule Used
- Sum Rule
- Steps
- Differentiate + term by term. The sum rule says the derivative of a sum is the sum of the derivatives, and the derivative of a constant term is 0, so that term disappears.
- Final answer: +
The derivative of e^(9*x)+x^5 is 5*x^4+9*e^(9*x).
Instant step-by-step solution for e^(9x)+x^5
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Derivative of e^(9x)+x^5 = 5*x^4+9*e^(9*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-e-minus-to-minus-the-minus-9x-minus-plus-minus-x-minus-to-minus-the-minus-5
How to find the derivative of e^(9x)+x^5
To find the derivative of e^(9x)+x^5, 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 e^(9x)+x^5?▼
The derivative of e^(9x)+x^5 is 5*x^4+9*e^(9*x).
How do you find the derivative of e^(9x)+x^5?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 5*x^4+9*e^(9*x).
Why is the derivative of e^(9x)+x^5 equal to 5*x^4+9*e^(9*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(9x)+x^5 yields 5*x^4+9*e^(9*x). See the full step-by-step breakdown above.