Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist, enter DNE.) f(x) = (x + 7)2/3 f'(-7) = 6 4. (-7, 0) 2 -14 -12 -10 -8 -6 -4 -2 -2 -4

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A: Explanation of the answer is as follows

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A: f(-1)=3f'(x)≤2Integrating w.r.t x;∫ f'(x) dx ≤ ∫2 dxf(x)≤2x+Cf(-1)=33=2(-1)+CC=3+2C=5

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Q: appropriate. If there is a more elementary method, consider using it. lim x→7  x − 7 x2 − 49

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