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Complete:
x=x=x= _____________.
ex+e−xex−e−x\frac{e^x+e^{-x}}{e^x-e^{-x}}ex−e−xex+e−x
ex+e−xe2x−ex\frac{e^x+e^{-x}}{e^{2x}-e^x}e2x−exex+e−x
e2x+e−2xe2x−e−2x\frac{e^{2x}+e^{-2x}}{e^{2x}-e^{-2x}}e2x−e−2xe2x+e−2x
5x=5x=5x= _____________.
2ex−e−x\frac{2}{e^x-e^{-x}}ex−e−x2
2e5x−e−5x\frac{2}{e^{5x}-e^{-5x}}e5x−e−5x2
tanhtanhx\tanh\tanh xtanhtanhx =_____________.
Is the sentence true or false?
coshx=ex+e−x2\cosh x=\frac{e^x+e^{-x}}{2}coshx=2ex+e−x .
True
False
x=x=x= ____________.
2ex+e−x\frac{2}{e^x+e^{-x}}ex+e−x2
ex−e−xex+e−x\frac{e^x-e^{-x}}{e^x+e^{-x}}ex+e−xex−e−x
The hyperbolic functions are defined through the algebraic expressions that include the exponential function exe^xex .
3x=3x=3x=_____________.
2e3x+e−3x\frac{2}{e^{3x}+e^{-3x}}e3x+e−3x2
tanhx=ex+e−xex\tanh x=\frac{e^x+e^{-x}}{e^x}tanhx=exex+e−x .
The graph of a hyperbolic function synonymous with its name represents a rectangular hyperbola.
It is done.