knowt ap exam guide logo

Derivative Rules :(

sin(x): cos(x)

cos(x): -sin(x)

tan(x): sec^2(x)

sec(x): sec(x)tan(x)

csc(x): -csc(x)cot(x)

cot(x): -csc^2(x)

x^n: nx^(n-1)

f(x)g(x): f(x)g’(x)+g(x)f’(x)

f(x)/g(x): (g(x)f’(x)-f(x)g’(x))/(g(x))^2

Slope-point form: y-y1=m(x-x1)

e^x: e^x

a^x: ln(a) a^x

ln(x): 1/x

log a (x): 1/(ln(a)x)

Derivative Rules :(

sin(x): cos(x)

cos(x): -sin(x)

tan(x): sec^2(x)

sec(x): sec(x)tan(x)

csc(x): -csc(x)cot(x)

cot(x): -csc^2(x)

x^n: nx^(n-1)

f(x)g(x): f(x)g’(x)+g(x)f’(x)

f(x)/g(x): (g(x)f’(x)-f(x)g’(x))/(g(x))^2

Slope-point form: y-y1=m(x-x1)

e^x: e^x

a^x: ln(a) a^x

ln(x): 1/x

log a (x): 1/(ln(a)x)