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Calculus 1 Midterm

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losonoju's version from 2016-10-17 23:45

Section 1

Question Answer
Derivative of csc(x)?-csc(x) cot(x) x'
Derivative of sec(x)?sec(x) tan(x) x'
Derivative of cot(x)?-csc^2(x) x'
Derivative of arcsin(x) [sin^-1]?x'/sqrt(1-x^2)
Derivative of arccos(x) [cos^-1]?-x/sqrt(1-x^2)
Derivative of acrtan(x) [tan^-1]?x'/(1+x^2)
memorize

Section 2

Question Answer
sin^2(x)+cos^2(x)1
1+tan^2(x)sec^2(x)
sin2(x)2sin(x) cos(x)
memorize

Section 3

Question Answer
sineh(x)?e^x-e^-x/2
cosh(x)?e^x+e^-x/2
tanh(x)?e^x-e^-x/e^x+e^-x
Derivative of sinh(x)?cosh(x)
Derivative of cosh(x)?sinh(x)
Derivative of tanh(x)?sech^2(x)
memorize

Section 4