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Derivatives.

Derivatives.

Last update 

Basic derivative formulas you should know for calculus.

Items (19)

  • d/dx f(x)

    f'(x)

  • d/dx f(x)g(x)

    f(x)g'(x)+g(x)f'(x)

  • d/dx f(x)/g(x)

    (g(x)f'(x)-f(x)g'(x))/(g(x))^2

  • d/dx f(g(x))

    f'(g(x))g'(x)

  • d/dx e^x

    e^x

  • d/dx ln(x)

    1/x

  • d/dx sin(x)

    cos(x)

  • d/dx cos(x)

    -sin(x)

  • d/dx tan(x)

    sec^2(x)

  • d/dx sec(x)

    sec(x)tan(x)

  • d/dx csc(x)

    -csc(x)cot(x)

  • d/dx cot(x)

    -csc^2(x)

  • d/dx sin^-1(x)

    1/(sqrt(1-x^2))

  • d/dx cos^-1(x)

    -1/(sqrt(1-x^2))

  • d/dx tan^-1(x)

    1/(1+x^2)

  • d/dx cot^-1(x)

    -1/(1+x^2)

  • d/dx csc^-1(x)

    -1/(xsqrt(x^2-1))

  • d/dx sec^-1(x)

    1/(xsqrt(x^2-1))

  • d/dx y

    d/dy