Derivatives of Trig Functions

Includes normal, reciprocals and inverses

d/dx(sin(x))

dy/dx = cos(x)

d/dx(cos(x))

d/dx = -sin(x)

d/dx(tan(x))

sec²(x)

dx(cot(x))

d/dx = -csc²(x)

d/dx(sec(x))

d/dx = sec(x)tan(x)

d/dx((csc(x))

d/dx = −csc(x)cot(x)

d/dx(sin⁻¹(x) or arcsin(x))

d/dx = 1/√(1-x²), x ≠ ±1

d/dx(cos⁻¹(x) or arccos(x))

d/dx = -1/√(1-x²), x ≠ ±1

d/dx(tan⁻¹(x) or arctan(x))

d/dx = = 1/(1+x²)

d/dx(cot⁻¹(x) or arccot(x))

dy/dx = -1/(1+x²)

d/dx(sec⁻¹(x) or arcsec(x))

d/dx = 1/(|x|√(x²-1)), x ≠ ±1, 0

d/dx(csc⁻¹(x) or arccsc(x))

dy/dx = -1/(|x|√(x²-1)), x ≠ ±1, 0