Derivative of e^(3x+1)
Answer
3*119696244^(-1-3*x)*325368125^(1+3*x)
Derivative of e^(3x+1)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: 3*119696244^(-1-)*325368125^(1+)
The derivative of e^(3*x+1) is 3*119696244^(-1-3*x)*325368125^(1+3*x).
Instant step-by-step solution for e^(3x+1)
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Derivative of e^(3x+1) = 3*119696244^(-1-3*x)*325368125^(1+3*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-e-minus-to-minus-the-minus-3x-minus-plus-minus-1
How to find the derivative of e^(3x+1)
To find the derivative of e^(3x+1), 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^(3x+1)?▼
The derivative of e^(3x+1) is 3*119696244^(-1-3*x)*325368125^(1+3*x).
How do you find the derivative of e^(3x+1)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 3*119696244^(-1-3*x)*325368125^(1+3*x).
Why is the derivative of e^(3x+1) equal to 3*119696244^(-1-3*x)*325368125^(1+3*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(3x+1) yields 3*119696244^(-1-3*x)*325368125^(1+3*x). See the full step-by-step breakdown above.