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Solution assignment 04 Chain rule

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Assignment  4

Differentiate:

y=\ln(5x+2)

Solution

We know the derivative:

[\ln(x)]'=\displaystyle\frac{1}{x}

and thus, according to the informal method, we get:

y'=\displaystyle\frac{1}{5x+2}\cdot5=\displaystyle\frac{5}{5x+2}

The factor 5 comes from:

[5x+2]'=5

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