AP Calculus BC Trigonometric, Logarithmic, and Derivative Functions

These flashcards cover key trigonometric values, logarithmic functions, and differentiation rules from AP Calculus BC.

sin(0)

Evaluates to 0.

sin(π/2)

Evaluates to 1.

sin(π)

Evaluates to 0.

sin(3π/2)

Evaluates to -1.

sin(2π)

Evaluates to 0.

cos(0)

Evaluates to 1.

cos(π/2)

Evaluates to 0.

cos(π)

Evaluates to -1.

cos(3π/2)

Evaluates to 0.

cos(2π)

Evaluates to 1.

ln(e)

Evaluates to 1.

ln(1)

Evaluates to 0.

1 - sin²(x)

Equals cos²(x).

1 - cos²(x)

Equals sin²(x).

d/dx (sin x)

Derives to cos x.

d/dx (cos x)

Derives to -sin x.

d/dx (-sin x)

Derives to -cos x.

d/dx (-cos x)

Derives to sin x.

d/dx (tan x)

Derives to sec² x.

d/dx (ln x)

Derives to 1/x.

d/dx (e^x)

Derives to e^x.

d/dx (a^x)

Derives to a^x * ln(a).

d/dx [f(x)g(x)]

Derives to f'(x)g(x) + f(x)g'(x).

d/dx [f(g(x))]

Derives to f'(g(x)) * g'(x).