Let f(x)=x(1-2x)
a. Find the average rate of change of f(x) with respect to x as x changes from x=0 to x=1/2
b.Find the instantaneous rate of change of f(x) at x =0
Let f(x)=x(1-2x)
a. Find the average rate of change of f(x) with respect to x as x changes from x=0 to x=1/2
b.Find the instantaneous rate of change of f(x) at x =0
a. $\displaystyle \frac{f\left(\frac{1}{2}\right) - f(0)}{\frac{1}{2} - 0}$
b. $\displaystyle \lim_{x \to 0} \frac{f(x) - f(0)}{x - 0}$