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education/math/MATH1210 (calc 1)/Derivatives.md
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@ -39,6 +39,10 @@ Given the equation $y = f(x)$, the following are all notations used to represent
# Constant Rule # Constant Rule
The derivative of a constant is always zero. The derivative of a constant is always zero.
$$ \dfrac{d}{dx}[c] = 0$$
For example, the derivative of the equation $f(x) = 3$ is $0$.
# Derivative of $x$
The derivative of $x$ is one.
# Exponential Derivative Formula # Exponential Derivative Formula
Using the definition of a derivative to determine the derivative of $f(x) = x^n$, where $n$ is any natural number. Using the definition of a derivative to determine the derivative of $f(x) = x^n$, where $n$ is any natural number.