“turning point”的概念、定义、翻译、参考文献-科学参考

turning point

Mathematics

A point on the graph y = f(x) at which f′(x) = 0 and f′(x) changes sign. A turning point is either a local maximum or a local minimum. Some authors use ‘turning point’ as equivalent to stationary point.

Chemical Engineering

A point on a graph at which the gradient of a tangent of a mathematical function changes sign. Where a gradient changes from a positive to a negative, the point represents a maximum point; where a gradient changes from a negative to a positive, the point represents a minimum. Turning points are also known as stationary points. Where the mathematical function $y = f (x)$ is known, the turning point can be obtained from the first derivative:
$\frac{d y}{d x} = 0$

A maximum or minimum can be identified from the sign of its second derivative.

单词	turning point
释义	turning point Mathematics A point on the graph y = f(x) at which f′(x) = 0 and f′(x) changes sign. A turning point is either a local maximum or a local minimum. Some authors use ‘turning point’ as equivalent to stationary point. Chemical Engineering A point on a graph at which the gradient of a tangent of a mathematical function changes sign. Where a gradient changes from a positive to a negative, the point represents a maximum point; where a gradient changes from a negative to a positive, the point represents a minimum. Turning points are also known as stationary points. Where the mathematical function $y = f (x)$ is known, the turning point can be obtained from the first derivative: $\frac{d y}{d x} = 0$ A maximum or minimum can be identified from the sign of its second derivative.
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