Homework SourseFor the funtion fxx3x make a table of slopes of secant lines
For the funtion f(x)=x^3-x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x=1.
Interval (1,2) (1,1.5) (1,1.1) (1,1.01) (1,1.001)
Slope of
Secant line ___ ____ ____ _____ _______
Interval (1,2) (1,1.5) (1,1.1) (1,1.01) (1,1.001)
Slope of
Secant line ___ ____ ____ _____ _______
Solution
secant for anthing=lim f(x)-f(a)/(x-a)=f\'(a) So f\'(x)=3x^2-1
