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d/dx (C) - derivative of a constant
0
d/dx (f(x)) - constant times a derivative
f’(x)
d/dx (f(x)+- g(x)) -sum and difference
d/dx(f(x))+-d/dx(g(x))
d/dx(x^n) -power
nx^n-1
d/dx(f(x) • g(x)) -product
f(x)g’(x)+g(x)f’(x)
d/dx (f(x)/g(x)) -quotient

d/dx (lnx) -logarithm base e
1/x

Logarithm any base

d/dx (e^x) -exponential base e
e^x
d/dx (a^x) -exponential any base
a^x • lna
d/dx (sinx) -sin
cosx
d/dx (cosx) -cosine
-sinx
d/dx (secx) -secant
tanx•secx
d/dx (tanx) -tangent
sec²x
d/dx (cscx) -cosecant
-cscxcotx
d/dx (cotx) -cotangent
-csc²x
d/dx (mx) -derivative of a linear
m