Derivative of Trig, Inverse Trig, and Logarithmic Functions

d/dx(sin(x))

cos(x)

d/dx(cos(x))

-sin(x)

d/dx(tan(x))

sec²(x)

d/dx(csc(x))

-csc(x)cot(x)

d/dx(sec(x))

sec(x)tan(x)

d/dx(cot(x))

-csc²(x)

d/dx log_b(x)

1/[(x)(ln)(b) × (d/dx)

d/dx ln(x)

1/(x) × (d/dx)

d/dx(sin⁻¹(x))

1/(√(1-x²)

d/dx(cos⁻¹(x))

-1/(√(1-x²)

d/dx(tan⁻¹(x))

1/(1+x²)

d/dx(csc⁻¹(x))

-1/x(√x²-1)

d/dx(sec⁻¹(x))

1/x(√x²-1)

d/dx(cot⁻¹(x))

1/(1+x²)