HISTORY: Derivation is very important in mathematics especially in calculus.
Appeared by the end of the 16th century, this concept was developed during the 17th century, by a great German philosopher and scientist named Gottfried Wilhelm Leibniz (1646-1716) and also by a great English scientist and inventor named Sir Isaac Newtown(1642-1727).
Leibniz N0tation:
Note the German scientist Gottfried Wilhem Leibniz (1646-1716)introduce the following notation: df/dx .
Note the French mathematician Joseph Louis Lagrange (1736-1813) introduce the “prime” notation f ‘(x).
LIST Of HYPERBOLIC FUNCTION DERIVATIVES:
List of some mathematic formulas here: Derivative, Integral, and more…
EXAMPLE 1: the general form is: [sinh– 1(x) ]‘
Let us find the derivative of f(x) = [sinh -1(x)]
Solution: Note*: [ ] is used to show the function. You can replace them by parentheses ( ) |
EXAMPLE 2: the general form is: [cosh– 1(x) ]‘