DERIVATIVE - Exponential / Trigonometric / Log / Inverse Trig / Hyperbolic / Inverse Hyperbolic

d/dx (a^u)

a^u ln a du/dx

d/dx (e^u)

e^u du/dx

d/dx (log_a u)

1/u * log_a e du/dx

d/dx (log₁₀ u)

1/u * log₁₀ e du/dx

d/dx (ln u)

1/u du/dx

d/dx sin u

cos u du/dx

d/dx cos u

-sin u du/dx

d/dx tan u

sec² u du/dx

d/dx sec u

sec u tan u du/dx

d/dx csc u

-csc u cot u du/dx

d/dx cot u

-csc² u du/dx

d/dx sin^-1 u

1/√(1-u²) du/dx

d/dx cos^-1 u

-1/√(1-u²) du/dx

d/dx tan^-1 u

1/1+u² du/dx

d/dx cot^-1 u

-1/1+u² du/dx

d/dx sec^-1 u

1/u√(u²-1) du/dx

d/dx csc^-1 u

-1/u√(u²-1) du/dx

d/dx sinh u

cosh u du/dx

d/dx cosh u

sinh u du/dx

d/dx tanh u

sech² u du/dx

d/dx sech u

-sech u tanh u du/dx

d/dx csch u

-csch u coth u du/dx

d/dx coth u

-csch² u du/dx

d/dx arcsinh u

1/√(u²+1) du/dx

d/dx arccosh u

1/√(u²-1) du/dx ; |x| > 1

d/dx arctanh u

1/(1-u²) du/dx ; |x| < 1

d/dx arccoth u

1/(1-u²) du/dx ; |x| > 1

d/dx arsech u

1/x√(1-x²) du/dx ; 0 < u < 1

d/dx arcsch u

1/|x|√(1+x²) du/dx ; x ≠ 0