AP Calc Derivatives & Antiderivatives

Derivative of ln(x)

• @@rac{1}{x}@@

• @@x@@

• @@rac{1}{x^2}@@

• @@rac{1}{ ext{ln}(x)}@@

Derivative of tan(x)

• sec²(x)

• cos²(x)

• sin²(x)

• csc²(x)

Derivative of arccsc(x)

• @@rac{-1}{ig|xig| ext{sqrt}{x^2-1}}@@

• @@rac{1}{ig|xig| ext{sqrt}{x^2-1}}@@

• @@rac{-1}{x ext{sqrt}{x^2-1}}@@

• @@rac{1}{x ext{sqrt}{x^2-1}}@@

Derivative of csc(x)

• -csc(x)·cot(x)

• csc(x)·cot(x)

• -csc^2(x)

• csc(x)·csc(x)

• @@\frac{1}{x\ln a}@@

• @@\frac{1}{a}@@

• @@\frac{1}{x}@@

• @@\frac{\ln a}{x}@@

Derivative of arccos(x)

• @@rac{-1}{ ext{sqrt}{1-x^2}}@@

• @@rac{1}{ ext{sqrt}{1-x^2}}@@

• @@rac{-1}{1+x^2}@@

• @@rac{1}{1-x^2}@@

Derivative of e^x

• e^x

• e^-x

• xe^x

• 0

Derivative of sec(x)

• sec(x)·tan(x)

• sec^2(x)

• tan^2(x)

• sec(x)·cot(x)