$\dfrac{d}{dx}{\, \sinh{x}}$ $\,=\,$ $\cosh{x}$

Let $x$ denotes a variable, the hyperbolic sine function is written as $\sinh{x}$ in mathematical form. The derivative of the hyperbolic sin function with respect to $x$ is written as follows.

$\dfrac{d}{dx}{\, \sinh{(x)}}$

It can be simply written in mathematical form as $(\sinh{x})’$ in differential calculus.

The differentiation of the hyperbolic sin function is equal to the hyperbolic cosine function.

$\implies$ $\dfrac{d}{dx}{\, \sinh{x}} \,=\, \cosh{x}$

The derivative of hyperbolic sine function can be written in terms of any variable in mathematics.

$(1) \,\,\,$ $\dfrac{d}{dk}{\, \sinh{k}}$ $\,=\,$ $\cosh{k}$

$(2) \,\,\,$ $\dfrac{d}{dm}{\, \sinh{m}}$ $\,=\,$ $\cosh{m}$

$(3) \,\,\,$ $\dfrac{d}{dz}{\, \sinh{z}}$ $\,=\,$ $\cosh{z}$

Learn how to derive the differentiation of hyperbolic sine function by the first principle of differentiation in differential calculus.

Latest Math Topics

Aug 31, 2024

Aug 07, 2024

Jul 24, 2024

Dec 13, 2023

Latest Math Problems

Sep 04, 2024

Jan 30, 2024

Oct 15, 2023

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved