Forward Pass IllustrationChain Rule VisualizationApproximation of the DerivativeDerivative of PolynomialDerivative of the SigmoidDerivative of SineThe DerivativeSigmoid Part 2Sigmoid FunctionReLUHyperbolic TangentLogarithmic FunctionExponential FunctionPolynomialsLinesLine:Zero InterceptHorizontal Lines
Approximation of the Derivative (Example)
f = x => x/(x**2+1)
fprime = x => (-(x**2)+1)/(x**2+1)**2
approx = x => (f(x + delta) - f(x - delta))/(2*delta)
Plot.plot({
x:{domain:[-10,10]},
y:{domain:[-1,1]},
marks:[
Plot.ruleX([0]),
Plot.ruleY([0]),
Plot.line(x,{x:x,y:x.map(x => f(x)),stroke:"red"})
]
})
Plot.plot({
x:{domain:[-10,10]},
y:{domain:[-1,1]},
marks:[
Plot.ruleX([0]),
Plot.ruleY([0]),
Plot.line(x,{x:x,y:x.map(x => fprime(x)),stroke:"red"})
]
})
viewof delta = Inputs.range([.00001,10])
Plot.plot({
x:{domain:[-10,10]},
y:{domain:[-1,1]},
marks:[
Plot.ruleX([0]),
Plot.ruleY([0]),
Plot.line(x,{x:x,y:x.map(x => approx(x)),stroke:"red"})
]
})
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