x-value for the steepest part of a slope
How would I find the x-value where the slope is the steepest for this sine graph (the blue one in bold)?
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28CEDEB2-DEFF-492C-8325-F7A602EB52E7.png
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This is very straight forward: The derivative of sin, which is cos, describes the slope of the sin at every value.
The steepest slopes of sin(x) occur at x=0 (slope= 1) and x=pi (slope= -1).
For your function, f is the amplitude of the sinusoid, and sets the value of the maximum slope.
g is the frequency of the sinusoid and h is the phase (or x) offset. g and h determine the location of the maximum slope.
i is the y offset. It has nothing to do with the magnitude of location of the maximum slope.
The maximum slope of 4 occurs when g(x+h) = 0, or x = -h/g = -1.6/0.22 = -7.273. But that is not what you have plotted.
And by the way, there is something wrong with plot for x values between 15 and 25. It should be a valley, not a hill.
The steepest slopes of sin(x) occur at x=0 (slope= 1) and x=pi (slope= -1).
For your function, f is the amplitude of the sinusoid, and sets the value of the maximum slope.
g is the frequency of the sinusoid and h is the phase (or x) offset. g and h determine the location of the maximum slope.
i is the y offset. It has nothing to do with the magnitude of location of the maximum slope.
The maximum slope of 4 occurs when g(x+h) = 0, or x = -h/g = -1.6/0.22 = -7.273. But that is not what you have plotted.
And by the way, there is something wrong with plot for x values between 15 and 25. It should be a valley, not a hill.
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