Set your calculator to DEGREE mode, then use the definition of the derivative to find $\displaystyle {f}'{\left({0}\right)}$, when $\displaystyle {f{{\left({x}\right)}}}={\sin{{x}}}$.

By the definition of the derivative,

$\displaystyle {f}'{\left({0}\right)}=\lim_{{{h}\to{0}}}$

Preview Question 6 Part 1 of 3

Evaluating this numerically gives $\displaystyle {f}'{\left({0}\right)}\approx$Preview Question 6 Part 2 of 3   (round your answer to four decimal places)

This suggests .