Hyperbolics

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What is the exponential form of coshx?
1/2 (e^x + e^-x)
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What is the exponential form of sinhx?
1/2 (e^x - e^-x)
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What is coshx differentiated?
Sinhx
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What is sinhx differentiated?
Coshx
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What is sechx as a fraction?
1/coshx
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What is cosechx as a fraction?
1/sinhx
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What is the minimum value of coshx?
1
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How would you derive the inverse of a function?
Switch y and x in the equation, then find x in terms of y. Use an identity eg.cosh^2x-sinh^2x=1, tanh^2x=sec^2x
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When finding the inverse of coshx, what limitation must be applied and why?
x > 0, so that coshx is a one-to-one function
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Other cards in this set

Card 2

Front

What is the exponential form of sinhx?

Back

1/2 (e^x - e^-x)

Card 3

Front

What is coshx differentiated?

Back

Preview of the front of card 3

Card 4

Front

What is sinhx differentiated?

Back

Preview of the front of card 4

Card 5

Front

What is sechx as a fraction?

Back

Preview of the front of card 5
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