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If first derivative difenes slope of …

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If first derivative difenes slope of tangent of any curve then second or third derivative defines what???

Posted by Pratibha Gupta 6 years, 4 months ago

CBSE > Class 12 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

The second derivative tells us a lot about the qualitative behaviour of the graph. If the second derivative is positive at a point, the graph is concave up. If the second derivative is positive at a critical point, then the critical point is a local minimum. The second derivative will be zero at an inflection point.

In physics, jerk is the rate of change of acceleration; that is, the time derivative of acceleration, and as such the second derivative of velocity, or the third time derivative of position.

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