Discover the Path to Mathematical Mastery
An Education That Counts
Discover the Path to Mathematical Mastery
An Education That Counts
Notations that are commonly used in mathematics to denote a derivative for a function \(y=f(x)\) include
\(\displaystyle\frac{dy}{dx},\, \frac{d}{dx}\big(f(x)\big),\, f'(x),\, y’,\, D(f)\)
Higher-order derivates can be expressed as
\(\displaystyle\frac{d^ny}{dx^n}=f^{(n)}(x)\qquad f(x)=f^{(0)}(x)\)
Linearity Property
Product Rule
Quotient Rule
Chain Rule
Power Rule
Constant Rule
Exponential Rule
Exponential Rule [Generalized]
Logarithm Rule
Logarithm Rule [Generalized]
Inverse Rule
Rational Rule [Generalized]
We consider the function \(u\) as a function in terms of \(x\), i.e. \(u:=u(x)\)