Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f (x) is a real number. * - cos () for 0

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A: Derivative of the function in terms of limit is f'(x)=limh→0f(x+h)-f(x)h

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Q: Please answer the question and show the solution (do note that there are two parts to the question).

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Q: y = Vx²(x+ 1)

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: