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…