Basics of Hyperbolic Functions

Draw the graph of $\mathrm{cosech}x$. Find the derivative of $\sqrt{2}\mathrm{cosech}x$.

Define a hyperbolic function. Find derivative of $\cosh x$.

If $\sinh x=\frac{3}{4}$, then find possible values of $\cosh x$.

If $\sinh x=\frac{1}{3}$, then find possible values of $\cosh x$.

If $\sinh x=\frac{6}{7}$, then find possible values of $\cosh x$.

If $\sinh x=\frac{-1}{5}$, then find possible values of $\cosh x$.

If $\sinh x=\frac{4}{9}$, then find possible values of $\cosh x$.

Draw the graph of $\mathrm{cosech}x$. Find the derivative of $8\mathrm{cosech}x$.

Draw the graph of $\mathrm{cosech}x$. Find the derivative of $30\mathrm{cosech}x$.

Draw the graph of $\coth x$. Find the derivative of $35\coth x$.

Draw the graph of $\coth x$. Find the derivative of $24\coth x$.

Draw the graph of $\mathrm{cosech}x$. Find the derivative of $44\mathrm{cosech}x$.

If $\sinh x=\frac{-2}{3}$, then find possible values of $\cosh x$.

If $\sinh x=\frac{4}{5}$, then find possible values of $\cosh x$.

If $\sinh x=\frac{3}{5}$, then find possible values of $\cosh x$.

Draw the graph of $\mathrm{cosech}x$. Find the derivative of $\mathrm{cosech}x$.

Draw the graph of $\mathrm{sech}x$. Find the derivative of $15\mathrm{sech}x$.

Draw the graph of $\mathrm{sech}x$. Find the derivative of $\mathrm{sech}x$.

Draw the graph of $\coth x$. Find the derivative of $52\coth x$.

Draw the graph of $\coth x$. Find the derivative of $40\coth x$.