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 t^{3}. An exponential function has the independent variable in the exponent of the function, as in e^{t}. Use the formula for the derivative of an exponential function in this case! 
Home Page 
Common Calculus Mistakes 
Privacy Policy 
