Differentiation gives us the instantaneous rate of change of one variable with respect to another.

True

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False

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Solution

The correct option is A True
The derivative or the essence of differentiation is the instantaneous rate of change of a function with respect to one of its variables.

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Similar questions

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

Even though the rate of change is not always measured with respect to time, instantaneous rate of change is always measured with respect to time

Q. Rate is a measure of how much one quantity changes with respect to the change in another quantity.

Instantaneous rate of change of f(x) with respect to x at x = a is defined as $f^{'} (x) = {lim}_{h \to 0} \frac{f (a) - f (a + h)}{- h}$ [its give that the limit exists ]

Q. ................ is the change in the value of a quantity with change in another variable.

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Differentiation gives us the instantaneous rate of change of one variable with respect to another.

The correct option is A TrueThe derivative or the essence of differentiation is the instantaneous rate of change of a function with respect to one of its variables.

The correct option is A True
The derivative or the essence of differentiation is the instantaneous rate of change of a function with respect to one of its variables.