Common Derivatives

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8 Terms

1
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ddx(xn)\frac{d}{dx}(x^n)

nxn−1n x^{n-1}

2
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ddx(ln⁡x)\frac{d}{dx}(\ln x)

1x\frac{1}{x}

3
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ddx(nx)\frac{d}{dx}(n^{x})

ln⁡(n)nx\ln(n)n^{x}

4
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ddx(ex)\frac{d}{dx}(e^x)

exe^x

5
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ddx(sin⁡x)\frac{d}{dx}(\sin x)

cos⁡(x)\cos(x)

6
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ddx(cos⁡x)\frac{d}{dx}(\cos x)

−sin⁡(x)-\sin(x)

7
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ddx(x)\frac{d}{dx}(\sqrt{x})

12x\frac{1}{2\sqrt{x}}

8
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ddx(tan⁡x)\frac{d}{dx}(\tan x)

1cos⁡2(x)\frac{1}{\cos^2(x)}