Basic Derivatives Flashcards

Flashcards covering basic derivative rules.

Derivative of cos(x)

-sin(x)

Derivative of tan(x)

sec²(x)

Derivative of csc(x)

-csc(x)cot(x)

Derivative of sec(x)

sec(x)tan(x)

Derivative of cot(x)

-csc²(x)

Derivative of a constant c

0

Derivative of c * f(x)

c * f'(x)

Derivative of e^x

e^x

Derivative of a^x

a^x * ln(a)

Derivative of ln(x)

1/x

Derivative of log_a(x)

1/(x*a)

Derivative of f(x) ± g(x)

f'(x) ± g'(x)

Derivative of csc⁻¹(x)

-1 / (x * √(x² - 1))

Derivative of sec⁻¹(x)

1 / (x * √(x² - 1))

Derivative of cot⁻¹(x)

-1 / (1 + x²)

Derivative of arcsin

1/√1-x²

Derivative of arccos

-1/√(1-x²

Derivative of arctan

1/(1+x²)