Je, derivative ya Sinh 2x ni ipi?
Je, derivative ya Sinh 2x ni ipi?

Video: Je, derivative ya Sinh 2x ni ipi?

Video: Je, derivative ya Sinh 2x ni ipi?
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The inayotokana na sinh (u) sinh (u) kwa heshima na u u ni cosh(u) cosh (u). Badilisha matukio yote ya u u na 2x 2 x.

Kadhalika, watu wanauliza, je, ni nini derivative ya Sinh?

Kwa hiyo, derivatives ya hyperbolic sine na hyperbolic kazi za cosine zinatolewa na. ( sinh x)'=(ex−e−x2)'=ex+e-x2=coshx, (coshx)'=(ex+e-x2)'=ex-e-e-x2= sinh x.

Mtu anaweza pia kuuliza, ni nini derivative ya hyperbolic sine? Kazi za Hyperbolic

Kazi Derivative Grafu
cosh(x) sinh(x)
tanh(x) tani 1(x)²
coth(x) 1-coth(x)²
sech(x) -sech(x)*tanh(x)

Kuhusiana na hili, unatofautisha vipi Cosh na Sinh?

Acha g(x) = cosh x na h(x) = sinh x 2, chaguo za kukokotoa f ni mgawo wa vitendakazi g na h: f(x) = g(x) / h(x). Kwa hivyo tunatumia kanuni ya mgawo, f '(x) = [h(x) g '(x) - g(x) h '(x)] / h(x) 2, kupata derivative ya kazi f.

Formula ya Sinhx ni nini?

x = e x − e − x 2 dhambi 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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