Question

# Differentiation measures how fast the function is changing with respect to the change in independent variable.True    False

Solution

## The correct option is A True    As discussed in the video the derivative of a function at a point gives the instantaneous rate of change of the function at that point. Graphically it would mean that a curve whose derivative is numerically higher will be steeper at that point than a curve with numerically lower derivative value. And a steeper graph means that its value is changing more quickly with change in independent variable than the one which is less steep. Here please note that while comparing the derivative values for steepness, please compare their modulus only. For example the curve with a derivate value of -5 will be steeper than the curve with a derivative value of 2. So the modulus of the derivative is what we are concerned with in such cases.

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