Calculus Page

radians and degrees: for reasons not totally relavant for simple trigonometry, there exists a unit of angular measure called radians. This has something to do with arc length, and as a bonus, it makes calculus a bit easier. For a unit circle (a circle with radius 1), one radian sweeps out an arc of length 1.
Conversion: Pi radians = 180 degrees; Pi/2 radians = 90 degrees

Hyperbolic Functions:
sinh(t) = (e^x - e^-x) / 2
cosh(t) = (e^x + e^-x) / 2
tanh(t) = sinh / cosh(t) = (e^x - e^-x) / (e^x + e^-x)
csch(t) = 1 / sinh(t)
sech(t) = 1 / cosh(t)
coth(t) = 1 / tanh(t)

Derivatives
(uv)' = vu' + uv' ln(u) = (1/u)du (u/v)' = (vu' - uv')/(v^2) Contact me at jdemaa17@calvin.edu

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This page was last updated created September 17, 1996.