Concept
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The derivative of an exponential function can be derived using the definition of the derivative. Derivatives of exponential functions involve the natural logarithm function, which itself is an important limit in Calculus, as well as the initial exponential function. The derivative is the natural logarithm of the base times the original function.
Sample Problems
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Need help with "Derivatives of Exponential Functions" problems? Watch expert teachers solve similar problems to develop your skills.
Problem 1
How to use properties of the derivative to differentiate functions that are partly exponential.
Problem 2
How to use the derivative of an exponential function to find an equation of the tangent line to the graph of f(x) = e^x.
Problem 3
How to use properties of the derivative (and properties of exponents) to differentiate functions that are partly exponential.
