find f(x). f(x)=3e - 9x f(x)=□
find f(x). f(x)=3e - 9x f(x)=□
Answer
Explanation:
Step1: Recall derivative rules
The derivative of a constant - multiple of a function is the constant times the derivative of the function, i.e., ((cf(x))'=cf'(x)), and the derivative of (e^{ax}) with respect to (x) is (ae^{ax}). Here (c = 3) and (a=-9) for the function (y = 3e^{-9x}).
Step2: Apply the rules
(f(x)=3e^{-9x}), so (f'(x)=3\times(- 9)e^{-9x})
Answer:
(-27e^{-9x})