MAT2102 - derivate delle funzioni elementari
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Last updated 9:52 AM on 3/31/26
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13 Terms
1
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y = \text{COSTANTE}
y' = 0
2
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y = x
y’ = 1
3
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y = x^n
y' = n \cdot x^{n-1}
4
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y = a^x
y' = a^x \cdot \ln(a)
5
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y = \log_a(x)
y' = \frac{1}{x} \cdot \frac{1}{\ln(a)}
6
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y = \ln x
y' = \frac{1}{x}
7
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y = e^x
y' = e^x
8
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y = \sin x
y' = \cos x
9
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y = \cos x
y' = -\sin x
10
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y = \tan x
y' = \frac{1}{\cos^2 x} \quad \text{oppure} \quad y' = 1 + \tan^2 x
11
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arcsin(x)
y' = \frac{1}{\sqrt{1 - x^2}}
12
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arccos(x)
y' = -\frac{1}{\sqrt{1 - x^2}}
13
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arctan(x)
y' = \frac{1}{1 + x^2}
