Finding Numerical Derivatives
While the TI-83+/84+ calculators are not symbolic
manipulators (they cannot tell you the algebraic expression for a
derivative), they can tell you an approximate numerical value for a
derivative at a specific location. Several methods may be used.
variable, value, )
command uses the symmetric difference quotient method, which
approximates the numerical derivative value as the slope of the secant
line, f ' (x) = ( f (x +
- f (x -
becomes smaller, the answer becomes more accurate.
Be careful!!! The use
of this method can yield an incorrect answer at non-differentiable
The default value for
1 E -3.
Find the numerical
value of the derivative for the function stated below at the indicated
location (express answer to three decimal places).