Section 8.2 Definition of the Derivative: Wrong function

[markbarsamian]

See definitionOfTheDerivative/digInTheDerivativeViaLimits.tex

Section 8.2 Definition of the Derivative: Wrong function

You present an example involving displacement and velocity for a moving object.

You say that the displacement is s(t) = sqrt(t+3)

You pose the question asking for the velocity at time t=6.

But then you proceed to find df(x)/dx, rather than ds(t)/dt

And the displacement function you use is a polynomial function f(x) = x^2 + 2x, not the square root function that was presented.

And you evaluate the derivative at x=2, rather than at t=6.