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Solution assignment 05 Chain rule

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Assignment 5

Differentiate:

y=e^{3x^2+5x+6}

Solution

We know the derivative:

[e^x]'=e^x

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

y'=e^{3x^2+5x+6}\cdot(6x+5)

The factor (6x+5) comes from:

[3x^2+5x+6]'=6x+5

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