Formulas of Useful Limits 1) If $$\mathop {\lim }\limits_{x \to a} f(x) = l$$ and $$\mathop {\lim }\limits_{x \to a} g(x) = m$$, then… Click here to read more
Basic Derivative Results If $$y = f(x)$$, then 1) $$\frac{{dy}}{{dx}} = f'(x) = \mathop {\lim }\limits_{h \to 0} \frac{{f(x + h) – f(x)}}{h}$$… Click here to read more
Basic Formulas of Derivatives General Derivative Formulas: 1) $$\frac{d}{{dx}}(c) = 0$$ where $$c$$ is any constant. 2) $$\frac{d}{{dx}}{x^n} = n{x^{n – 1}}$$ is called… Click here to read more
Results of Higher Derivatives 1) \[{y_n} = \frac{{{d^n}}}{{d{x^n}}}{(ax + b)^m} = \frac{{m!}}{{(m – n)!}}{a^n}{(ax + b)^{m – n}}\] 2) \[{y_n} = \frac{{{d^n}}}{{d{x^n}}}\frac{1}{{(ax + b)}}… Click here to read more