Calculus Derivative Formulas: Trig, Inverse Trig, Exponential & Logarithmic by me

What is the derivative of sin(x)?

cos(x)

What is the derivative of cos(x)?

-sin(x)

What is the derivative of tan(x)?

sec²(x)

What is the derivative of cot(x)?

-csc²(x)

What is the derivative of sec(x)?

sec(x)tan(x)

What is the derivative of csc(x)?

-csc(x)cot(x)

What is the derivative of the inverse function sin⁻¹(x)?

1/√(1-x²)

What is the derivative of the inverse function cos⁻¹(x)?

-1/√(1-x²)

What is the derivative of the inverse function tan⁻¹(x)?

1/(1+x²)

What is the derivative of the inverse function sec⁻¹(x)?

1/(|x|√(x²-1))

What is the derivative of e^(x)?

e^(x)

What is the derivative of ln(x)?

1/x

What is the derivative of a^x?

a^x * ln(a)

What is the derivative of log_b(x)?

1/(x ln(b))

What is the derivative of the inverse function cot⁻¹(x)?

-1/(1+x²)

What is the derivative of the inverse function csc⁻¹(x)?

-1/(|x|sqrt(x^2-1))