Trig/arc/Log/Expo Derivitves

Derivative of sin(x)

cos(x)

Which function has derivative cos(x)?

sin(x)

Derivative of cos(x)

-sin(x)

Which function has derivative -sin(x)?

cos(x)

Derivative of tan(x)

sec^2(x)

Which function has derivative sec^2(x)?

tan(x)

Derivative of csc(x)

-csc(x) cot(x)

Which function has derivative -csc(x) cot(x)?

csc(x)

Derivative of sec(x)

sec(x) tan(x)

Which function has derivative sec(x) tan(x)?

sec(x)

Derivative of cot(x)

-csc^2(x)

Which function has derivative -csc^2(x)?

cot(x)

Derivative of e^x

e^x

Which function has derivative e^x?

e^x

Derivative of a^x

a^x ln(a)

Which function has derivative a^x ln(a)?

a^x

Derivative of ln(x)

1/x

Which function has derivative 1/x?

ln(x)

Derivative of log base a of x

1 / (x ln(a))

Which function has derivative 1 / (x ln(a))?

log base a of x

Derivative of arcsin(x)

1 / sqrt(1 - x^2)

Which function has derivative 1 / sqrt(1 - x^2)?

arcsin(x)

Derivative of arccos(x)

-1 / sqrt(1 - x^2)

Which function has derivative -1 / sqrt(1 - x^2)?

arccos(x)

Derivative of arctan(x)

1 / (1 + x^2)

Which function has derivative 1 / (1 + x^2)?

arctan(x)

Derivative of arccsc(x)

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

Which function has derivative -1 / (x sqrt(x^2 - 1))?

arccsc(x)

Derivative of arcsec(x)

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

Which function has derivative 1 / (x sqrt(x^2 - 1))?

arcsec(x)

Derivative of arccot(x)

-1 / (1 + x^2)

Which function has derivative -1 / (1 + x^2)?

arccot(x)

Derivative of sinh(x)

cosh(x)

Which function has derivative cosh(x)?

sinh(x)

Derivative of cosh(x)

sinh(x)

Which function has derivative sinh(x)?

cosh(x)