Derivatives
Exponential Derivatives
Understanding the unique properties of the derivative of e^x and other bases.
The natural exponential function f(x) = e^x is unique because its derivative is also e^x. For general bases, d/dx(a^x) = a^x * ln(a). These functions appear in growth models and are differentiated using the Product Rule and Chain Rule.
Solve Examples with Exponential Derivatives
More Calculus Topics
Trigonometric Derivatives
A guide to the derivatives of sine, cosine, tangent, and other trig functions.
Quotient Rule
Learn the quotient rule for differentiating ratios of functions.
Fundamental Theorem of Calculus
The theorem that links the concept of differentiating a function with the concept of integrating a function.