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Derivatives and Identities of Trig Functions

Terms in this set (16)

cosh x
(d/dx)(sinh x)
sinh x
(d/dx)(cosh x)
sech^2 x
(d/dx)(tanh x)
-csch^2 x
(d/dx)(coth x)
-sinh x
Complete the identity: sinh(-x)
sinh^2 x
Fill in the blank: cosh^2 x - _____ = 1.
(cosh x)(cosh y) + (sinh x)(sinh y)
Replace the "?" with the appropriate value: cosh (x+y) = ?
(sinh x)(cosh y) + (cosh x)(sinh y)
Replace the "?" with the appropriate value: sinh (x+y) = ?
-
Replace the "?" with the correct sign: sinh x = (e^x ? e^-x)/2
+
Replace the "?" with the correct sign: cosh x = (e^x ? e^-x)/2
1/(sqrt(1+x^2))
Give the formula equal to (d/dx)(sinh^-1 x).
1/(sqrt(x^2 - 1))
Give the formula equal to (d/dx)(cosh^-1 x).
1/(1 - x^2)
Give the formula equal to (d/dx)(tanh^-1 x).
1/(sqrt(1 - x^2))
Give the formula equal to (d/dx)(sin^-1 x).
1/(1 + x^2)
Give the formula equal to (d/dx)(tan^-1 x).
1/(x(sqrt(x^2 - 1))
Give the formula equal to (d/dx)(sec^-1 x).
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