Derivative Functions

d/dx (e^x)

e^x

d/dx (b^x)

b^x*ln(b)

d/dx (ln|x|)

1/x

d/dx (log_bx)

1/(x*ln(b))

d/dx (sin(x))

cos(x)

d/dx (cos(x))

-sin(x)

d/dx (tan(x))

sec²(x)

d/dx (csc(x))

-csc(x)*cot(x)

d/dx (sec(x))

sec(x)*tan(x)

d/dx (cot(x))

-csc²(x)

d/dx (sin^-1(x))

1/sqrt(1-x²)

d/dx (cos^-1(x))

-1/sqrt(1-x²)

d/dx (tan^-1(x))

1/(1+x²)

d/dx (csc^-1(x))

-1/(x*sqrt(x²-1))

d/dx (sec^-1(x))

1/(x*sqrt(x²-1))

d/dx(cot^-1(x))

-1/(1+x²)