Practicing Success
Practicing Success
CUET Preparation Today
If $F(x)=2 \int\limits_0^x f(t) d t$ and $f(x)=\left\{\begin{array}{l}x, 0 \leq x<1 \\ \sin \pi x, x \geq 1\end{array}\right.$, then |
$F'\left(\frac{1}{2}\right)=\frac{1}{4}$ $F'\left(\frac{3}{2}\right)=-1$ $F' (1) = 1$ None of these |
$F'\left(\frac{3}{2}\right)=-1$ |
$F'(x)=f(x) \Rightarrow F'\left(\frac{3}{2}\right)=\sin \frac{3 \pi}{2}=-1$ Hence (2) is the correct answer. |
