What are the important formulas in Class 12 NCERT Continuity and Differentiability?

11 Views|Posted 10 months ago

Asked by Chandra Pruthi

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Aayush Kumari | Beginner-Level 5

10 months ago

There are several important formulas of the Continuity and Differentiability, Students can cheeck below;

Continuity at a point
$\lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x) = f(a)$
Derivative of basic functions:
- $\frac{d}{dx}(x^n) = nx^{n-1}$
- $\frac{d}{dx}(\sin x) = \cos x$
- $\frac{d}{dx}(\cos x) = -\sin x$
- $\frac{d}{dx}(e^x) = e^x$
- $\frac{d}{dx}(\ln x) = \frac{1}{x}$
Product Rule:
$\frac{d}{dx}[u \cdot v] = u \cdot \frac{dv}{dx} + v \cdot \frac{du}{dx}$
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