Differentiability of a function: Differentiability applies to a function whose derivative exists at each point in its domain. Actually, differentiability at a point is defined…
Posts published in “Continuity and Differentiability”
Continuity: We can say a function f ( x ) to be continuous at x = a if \(\mathop {\lim }\limits_{x \to a} f\left( x…
Derivative Formula: Actual derivative formula: If y = f(x), then \(\LARGE f’(x)=\lim_{\triangle x \rightarrow 0}\frac{f(x+ \triangle x)-f(x)}{\triangle x}\) Basic Derivative formula: \(\frac{d}{dx}\)(c) = 0, where…