vault backup: 2025-02-02 16:09:27
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@ -37,6 +37,9 @@ Given the equation $y = f(x)$, the following are all notations used to represent
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# Higher Order Derivatives
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- Take the derivative of a derivative
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# Constant Rule
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The derivative of a constant is always zero.
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# Exponential Derivative Formula
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Using the definition of a derivative to determine the derivative of $f(x) = x^n$, where $n$ is any natural number.
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@ -91,4 +94,4 @@ $$ \dfrac{d}{dx}(\dfrac{f(x)}{g(x)}) = \dfrac{f'(x)g(x) -f(x)g'(x)}{(g(x))^2} $
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# Exponential Rule
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$$ \dfrac{d}{dx} e^x = e^x $$
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$$ \dfrac{d}{dx}a^x = a^x*(\ln(a)) $$
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for all $a > 0$
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for all $a > 0$
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