wiskunde log / ln regels

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6 Terms

1
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y = √x

dy / dx = 1/2√x

2
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f (x) = 3√5x + 2

f ‘(x) = 3 / 2√5x+2 * 5

3
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y = g^x y = 5 × 3 ^ 6x-8

g^x * ln(g) * kettingregel (x) y = 3 ^ 6x-8 * ln(5) * 6

4
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y = ln(x) y = ln(-7x + 2)

dy / dx = 1/x * kettingregel (x) dy / dx = 1/-7x+2 × 7

5
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y = g^log(x)

dy / dx = 1 / x * ln(g) * kettingregel (x)

6
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hoe optimaliseren berekenen

wanneer ‘maximaal’ of minimaal beschreven wordt, bereken je eerst de afgeleide en daarna zet je de afgeleide in de grafiek, en daarna gebruik je optie nulpunt.