If \(\mathop \smallint \nolimits_0^x f\left( t \right)dt = {x^2} + \mathop \smallint \nolimits_x^1 {t^2}f\left( t \right)dt\), then f'(1/2) is:

If \(\mathop \smallint \nolimits_0^x f\left( t \right)dt = {x^2} + \ma

1.	If \(\mathop \smallint \nolimits_0^x f\left( t \right)dt = {x^2} + \mathop \smallint \nolimits_x^1 {t^2}f\left( t \right)dt\), then f'(1/2) is:
A.	\(\frac{{24}}{{25}}\)
B.	\(\frac{{18}}{{25}}\)
C.	\(\frac{4}{5}\)
D.	\(\frac{6}{{25}}\)
Answer» B. \(\frac{{18}}{{25}}\)

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If \(\mathop \smallint \nolimits_0^x f\left( t \right)dt = {x^2} + \mathop \smallint \nolimits_x^1 {t^2}f\left( t \right)dt\), then f'(1/2) is:

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