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The derivative constant is zero
f(x) =8
f(x) = 0
f(x) = b
Constant Rule
bring down the exponent and multiply it by the coefficient. Subtract one.
f(x) = X² The rule only works if the base is changing and not your exponent
power rule
If you have a constant, times the answer is the constant.
f(x) = 2x
constant multiple rule
If you have addition, subtraction, or both in an equation, then the derivative of the function is each variable's derivative separately: h(x)=f(x)+g(x).
h'(x) = f(x) +
g'(x)
f (x) = X³ + 6x² + 2x
f(x) = 6x²
4xf(x)=12
Additive/Difference Rule