In this lecture Professor Switkes will walk you through Hyperbolic Trigonometric Function Derivatives. After essential equations you will learn the six basic Hyperbolic Trigonometric Functions and the six basic Inverse Hyperbolic Trigonometric Functions most often used in Calculus.
AP Calculus I/AB > Hyperbolic Trigonometric Function Derivatives
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Hyperbolic Trigonometric Function Derivatives
Check with your
instructor as to whether or not you should memorize these formulas!
One type of
problem here simply incorporates hyperbolic trigonometric functions
into differentiation problems involving, for example, the Chain
Rule.
You can use the
exponential definitions of
and
to derive their derivative formulas.
You can use the
derivative formulas for
and
to derive the derivative formulas for the other hyperbolic
trigonometric functions.