Using an approximate slope – HP 15c User Manual
Page 20

20
Section 1: Using
_ Effectively
20
The relative field intensity is maximum at an angle of 90° (perpendicular to the tower). To
find the minimum, use angles closer to zero as initial estimates, such as the radian
equivalents of 10° and 60°.
Keystrokes
Display
10
´r
0.1745
60
´r
1.0472
Initial estimates.
´_0
0.4899
Angle giving zero slope.
))
-5.5279 -10
Slope at specified angle.
|(|(
0.4899
Restores the stack.
|d
28.0680
Angle in degrees.
The relative field intensity is most negative at an angle of 28.0680° from vertical.
Using an Approximate Slope
The derivative of a function can also be approximated numerically. If you sample a function
at two points relatively close to x (namely x + Δ and x − Δ), you can use the slope of the
secant as an approximation to the slope at x:
2
)
(
)
(
x
f
x
f
s