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5-2 Differential and Integral Calculus Formula
5-2-1 Differential Formula of Basic Function
| $f(x)$ | $f'(x)$ |
| $x^a$ | $ax^{a-1}$ |
| $e^x$ | $e^x$ |
| $logx$ | $\frac{1}{x}$ |
| $sinx$ | $cosx$ |
| $cosx$ | $-sinx$ |
| $tanx$ | $\frac{1}{cos^2x}$ |
| $sin^{-1}x $ | $\frac{1}{\sqrt{1-x^2}}$ |
| $cos^{-1}x $ | $-\frac{1}{\sqrt{1-x^2}}$ |
| $tan^{-1}x $ | $\frac{1}{1+x^2}$ |
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