A polynomial function f(x) satisfying the conditions f(x) = [f ‘ … - Vidyadip

MCQ

A polynomial function $f(x)$ satisfying the conditions $f(x) = [f ‘ (x)]^2$ & $\int\limits_0^1 {} f(x) dx =$$\frac{{19}}{{12}}$ can be:

A
$\frac{{{x^2}}}{4} + \frac{3}{2}x + \frac{9}{4}$
B
$\frac{{{x^2}}}{4} - \frac{3}{2}x + \frac{9}{4}$
C
$\frac{{{x^2}}}{4}+ x + 1$
✓
both $(B)$ and $(C)$

✓

Answer

Correct option: D.

both $(B)$ and $(C)$

d

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