Question

In: Physics

A) In calculus what is the name of the slope of the line drawn tangent to...

A) In calculus what is the name of the slope of the line drawn tangent to curve (when the curve is a graph of given function) B) What is the name of the physical quantity given to the slope of a line tangent to a Distance vs Time curve?

Solutions

Expert Solution

A)

In a graph of a function, the slope of a line drwan tangent to the curve is the derivative of the given function. the slope is different at different points on the curve.The slope of the tangent line is

The derivative of a function at any x value gives the slope of the original function’s graph at that x value.

B)

In this graph, function is Distance wich is dependent on time and x is time. So derivation of distance with time is velocity. The slope of a line tangent to a distance vs time curve is velocity .

genius_generous answered 2 years ago
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