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1983 | OriginalPaper | Buchkapitel

Applications of differentiation

verfasst von : C. T. Moss, C. Plumpton

Erschienen in: Differentiation

Verlag: Macmillan Education UK

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In chapter 1 we saw that, for a function defined by y = f(x), the derivative <math display='block'> <mrow> <mfrac> <mrow> <mi>d</mi><mi>y</mi> </mrow> <mrow> <mi>d</mi><mi>x</mi> </mrow> </mfrac> </mrow> </math>$$\frac{{dy}}{{dx}}$$ is a measure of (i) the gradient of the tangent to the curve y = f(x) at any point (x, y) on the curve, and (ii) the exact rate of change of y with respect to x. This leads immediately to two important applications of differentiation.

Metadaten
Titel
Applications of differentiation
verfasst von
C. T. Moss
C. Plumpton
Copyright-Jahr
1983
Verlag
Macmillan Education UK
DOI
https://doi.org/10.1007/978-1-349-06048-1_3