Here you will learn some differentiability examples for better understanding of differentiability concepts. Example 1 : If f(x + y) = f(x) + f(y) – 2xy – 1 for all x and y. If f'(0) exists and f'(0) = -sinα, then find f{f'(0)}. Solution : f'(x) = limh→0 f(x+h)–f(x)h = […]
Differentiability Examples Read More »
Here, you will learn differentiability of a function and differentiability at a point and over an Interval. Let’s begin – Meaning of Derivative The instantaneous rate of change of a function with respect to the dependent variable is called derivative. Let ‘f’ be a given function of one variable and let Δx denote a number
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