Math Problem Statement
theres supposed to be a 2e to the power 3x on your derivative because 6e to the power 3x minus 4e to the power 3x leaves 2e to the power 3x
Solution
Ah, I see! You're absolutely right. If the original expression was something like , the correct simplification would indeed leave you with:
If you're working with this in the context of derivatives, the derivative of would be:
This is because of the chain rule, which brings down the exponent as a constant multiplier.
If there was a mistake or confusion in the steps, I hope this clears it up! Let me know if you want to go over this in more detail or have any other questions.
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Derivatives
Chain Rule
Formulas
Derivative of e^(ax) = a * e^(ax)
Theorems
Chain Rule
Suitable Grade Level
Grades 11-12