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##### Asked by: Ulyana Cristensen

science space and astronomy# What is the derivative of Sinh 2x?

Last Updated: 12th June, 2020

**derivative of sinh**(u)

**sinh**( u ) with respect to u u is cosh(u) cosh ( u ) . Replace all occurrences of u u with 2x 2 x .

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Thereof, what is derivative of Sinh?

So, the **derivatives** of the **hyperbolic** sine and **hyperbolic** cosine functions are given by. (**sinh**x)′=(ex−e−x2)′=ex+e−x2=coshx,(coshx)′=(ex+e−x2)′=ex−e−x2=**sinh**x.

Secondly, what is the derivative of hyperbolic sine? Hyperbolic Functions

Function | Derivative | Graph |
---|---|---|

cosh(x) | sinh(x) | ↓ |

tanh(x) | 1-tanh(x)² | ↓ |

coth(x) | 1-coth(x)² | ↓ |

sech(x) | -sech(x)*tanh(x) | ↓ |

Secondly, how do you differentiate Cosh and Sinh?

Let g(x) = **cosh** x and h(x) = **sinh** x ^{2}, function f is the quotient of functions g and h: f(x) = g(x) / h(x). Hence we use the quotient rule, f '(x) = [ h(x) g '(x) - g(x) h '(x) ] / h(x) ^{2}, to find the **derivative** of function f.

What is the formula of Sinhx?

x = e x − e − x 2 **sinh x** = dfrac{e^x - e^{-x}}{2} **sinhx**=2ex−e−x? cosh ? x = e x + e − x 2 cosh x =dfrac{e^x + e^{-x}}{2} coshx=2ex+e−x?