What are the basic formulas of limits and derivatives in Class 11?
Answer (1)
Basic Formulas of Limits and Derivatives in Class 11
Limits
1. $\lim\limits_{x \rightarrow a} c=c$
2. $\lim\limits_{x \rightarrow a} x=a$
3. $\lim\limits_{x \rightarrow a} x^n=a^n$
4. $\lim\limits_{x \rightarrow 0} \frac{\sin x}{x}=1$
5. $\lim\limits_{x \rightarrow 0} \frac{1-\cos x}{x}=0$
Derivatives
1. $\frac{d}{d x}(c)=0$
2. $\frac{d}{d x}\left(x^n\right)=n x^{n-1}$
3. $\frac{d}{d x}(\sin x)=\cos x$
4. $\frac{d}{d x}(\cos x)=-\sin x$
5. $\frac{d}{d x}\left(e^x\right)=e^x$
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