Let \[f:[2,7]\to [0,\infty )\] be a continuous and differentiable function. Then, \[(f(7)-f(2))\frac{{{(f(7))}^{2}}+{{(f(2))}^{2}}+f(2)f(7)}{3}\] is, where \[c\in [2,7]\] [2, 7].

Let \[f:[2,7]\to [0,\infty )\] be a continuous and differentiable func

1.	Let \[f:[2,7]\to [0,\infty )\] be a continuous and differentiable function. Then, \[(f(7)-f(2))\frac{{{(f(7))}^{2}}+{{(f(2))}^{2}}+f(2)f(7)}{3}\] is, where \[c\in [2,7]\] [2, 7].
A.	\[5{{f}^{2}}(c)f'(c)\]
B.	\[5f'(c)\]
C.	\[f(c)f'(c)\]
D.	None of these
Answer» B. \[5f'(c)\]

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Let \[f:[2,7]\to [0,\infty )\] be a continuous and differentiable function. Then, \[(f(7)-f(2))\frac{{{(f(7))}^{2}}+{{(f(2))}^{2}}+f(2)f(7)}{3}\] is, where \[c\in [2,7]\] [2, 7].

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