MAC2311 Unit 2

derivative of sin

cos

derivative of cos

-sin

derivative of tan

sec²x

derivative of cot

-csc²x

derivative of sec

secxtanx

derivative of csc

-cscxcotx

quotient rule

low d’high - high d’low over low²

power rule

derivative of x^n = nx^n-1

product rule

f(x)g(x)’ + f(x)’g(x)

sec²x

1+tan²x

tan²x

sec²x-1

constant multiple rule

derivative of c times f(x) c times derivative f(x)

derivative of e^x

e^x

derivative of e^ax

ae^ax

derivative of b^x

b^xln(b)

1st derivative of position

velocity

2nd derivative of position

acceleration

instantaneous rate of change

tangent line/derivative

marginal cost

derivate of cost

chain rule

f(g(x))’ = f’(g(x)) times g’(x)