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d/dx (sin x)
cos x
d/dx (cos x)
-sin x
d/dx (tan x)
sec²x
d/dx (csc x)
-csc x*cot x
d/dx (sec x)
sec x*tan x
d/dx (cot x)
-csc²x
Special Trig Limit for sin
lim x→0 (sin x)/x = 1
Special Trig Limit for cos
lim x→0 (cos x - 1)/x = 0
d/dx (sin-1x)
d/dx (sin-1x) = 1 / √(1 - x²)
d/dx (cos-1x)
d/dx (cos-1x) = -1 / √(1 - x²)
d/dx (tan-1x)
d/dx (tan-1x) = 1 / (1 + x²)
d/dx (csc-1x)
-1 / x * √(x² - 1)
d/dx (sec-1x)
1 / x * √(x² - 1)
d/dx (cot-1x)
d/dx (cot-1x) = -1 / (1 + x²)