What marks the change in the curve’s concavity?
Answers
Answer:
Concavity relates to the rate of change of a function's derivative. A function f is concave up (or upwards) where the derivative f′ is increasing. ... Similarly, f is concave down (or downwards) where the derivative f′ is decreasing (or equivalently, f′′f, start superscript, prime, prime, end superscript is negative).
Answer:
Points where the concavity shifts from up to down or from down to up are of particular interest; they are known as inflection points.
Step-by-step explanation:
Step 1: The slope of the tangent line to the graph's 2nd derivative is indicated. The tangent line rotates anticlockwise if you are travelling from left to right, the slope of the tangent line is rising, and the second derivative is positive. The graph becomes concave as a result.
Step 2: A shape that at some point curves inward is said to be concave. This can be a polygon with a steep inward angle or a curved form with an inwards curving part. Any shape that has a line connecting two locations inside the shape that leaves the shape is said to be concave.
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