Calculus – Solve Derivative of Hyperbolic Functions

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) ]

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