derivative rules

d/dx (k)

0

d/dx (xⁿ)

nx^n-1

d/dx (b^x)

b^xln(b)

d/dx e^x

e^x

d/dx (log_b(x))

1/xln(b)

d/dx (ln(x))

1/x

d/dx H/L

H'(x)L - H L' / L²

d/dx xa

x’*a + a’*x