Derivative of $$$\cosh{\left(\eta \right)}$$$
The calculator will find the derivative of $$$\cosh{\left(\eta \right)}$$$, with steps shown.
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Your Input
Find $$$\frac{d}{d\eta} \left(\cosh{\left(\eta \right)}\right)$$$.
Solution
The derivative of the hyperbolic cosine is $$$\frac{d}{d\eta} \left(\cosh{\left(\eta \right)}\right) = \sinh{\left(\eta \right)}$$$:
$${\color{red}\left(\frac{d}{d\eta} \left(\cosh{\left(\eta \right)}\right)\right)} = {\color{red}\left(\sinh{\left(\eta \right)}\right)}$$Thus, $$$\frac{d}{d\eta} \left(\cosh{\left(\eta \right)}\right) = \sinh{\left(\eta \right)}$$$.
Answer
$$$\frac{d}{d\eta} \left(\cosh{\left(\eta \right)}\right) = \sinh{\left(\eta \right)}$$$A