1st mastery quiz

Power Rule

d/dx(x^n) = n·x^(n−1)

Derivative of ln(x)

d/dx(ln x) = 1/x

Derivative of log base a

d/dx(log_a x) = 1/(x·ln a)

Derivative of a^x

d/dx(a^x) = a^x·ln(a)

Derivative of e^x

d/dx(e^x) = e^x

Derivative of sin(x)

d/dx(sin x) = cos x

Derivative of cos(x)

d/dx(cos x) = −sin x

Derivative of tan(x)

d/dx(tan x) = sec²x

Derivative of cot(x)

d/dx(cot x) = −csc²x

Derivative of sec(x)

d/dx(sec x) = sec x·tan x

Derivative of csc(x)

d/dx(csc x) = −csc x·cot x

Derivative of sin⁻¹(x)

d/dx(sin⁻¹x) = 1/√(1−x²)

Derivative of cos⁻¹(x)

d/dx(cos⁻¹x) = −1/√(1−x²)

Derivative of tan⁻¹(x)

d/dx(tan⁻¹x) = 1/(1+x²)