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31-10-2020
Mathematics

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Find f’(2) for f(x)=5e^-xln(x^2+5x)

Find f2 for fx5exlnx25x class=

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31-10-2020

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Answer:

f'(2) ≈ −1.3508

Step-by-step explanation:

The derivative of the function is ...

f'(x) = 5(-e^-x·ln(x^2 +5x) +e^-x·(2x +5)/(x^2 +5x))

Then ...

f'(2) = 5e^(-2)(-ln(14) +9/14) ≈ -1.3508

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