Compute the derivative at specific values of a given function

by RoRi

September 11, 2015

Let

$f(x) = 2 + x - x^2.$

Compute $f'(0), f'\left( \frac{1}{2} \right), f'(1), f'(-10)$ .

Using the formula for the derivative of a polynomial we have,

$f'(x) = 1 - 2x.$

Thus,

$\begin{flalign*} f'(0) &= 1,& \\[8pt] f'\left( \frac{1}{2} \right) &= 0, \\[8pt] f'(1) &= -1, \\ f'(-10) &= 21. \end{flalign*}$

Stumbling Robot