Using an approximate slope – HP 15c User Manual

Page 20

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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

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