Asked by: Ulyana Cristensen
science space and astronomy

What is the derivative of Sinh 2x?

Last Updated: 12th June, 2020

The 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. (sinhx)′=(ex−e−x2)′=ex+e−x2=coshx,(coshx)′=(ex+e−x2)′=ex−e−x2=sinhx.

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?

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