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1 + tan²x
sec²x
1 + cot²x
csc²x
sin (2u)
2 sinu cosu
cos (2u)
cos²u - sin²u
2 cos²u - 1
1 - 2 sin²u
tan (2u)
(2 tanu) / (1 - tan²u)
sin²u

cos²u

tan²u

deriv of ln u
u’ / u































- ln | cscu + cot u | + C
ln | cscu - cotu | + C






















deriv of sinhx
coshx
deriv of coshx
sinhx
deriv of tanhx
sech²x
deriv of cschx
-cschx cothx
deriv of sechx
-sechx tanhx
deriv of cothx
-csch²x












deriv of arcsinhx

deriv of arccoshx

deriv of arctanhx

deriv of arccschx

deriv of arcsechx

deriv of arccothx







if f(x) is continuous
then f (lim x) = lim f(x)

e

e^r