if a is a constant, what is the derivative of ax?
if a is a constant, what is the derivative of ax?
Answer
Explanation:
Step1: Apply the derivative rule
The derivative of (ax) with respect to (x) can be found using the power rule (\frac{d}{dx}(cx^n)=cnx^{n - 1}). Here (c = a) and (n=1).
Step2: Calculate the derivative
Substitute (c = a) and (n = 1) into the power - rule formula: (\frac{d}{dx}(ax)=a\times1\times x^{1-1}). Since (x^{0}=1), we get (\frac{d}{dx}(ax)=a).
Answer:
(a)