Common Calculus Mistakes
Derivative of an exponential function |
The Goal
Find
The Mistake
Find the mistake: (Roll the mouse over the math to see a hint in red) The Correction
(Roll the mouse over the area above to see the correction in blue) An Explanation An exponential function is not a power function, so the power rule can not be used to find its derivative. A power function has the independent variable (t in this context) in the base of the function, as in t3. An exponential function has the independent variable in the exponent of the function, as in et. Use the formula for the derivative of an exponential function in this case! |
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