If y = x Sin x, find dydx d y d x when x = ..

Question 1 Report

If y = x Sin x, find $\frac{d y}{d x}$ when x = $\frac{π}{2}$

\frac{- π}{2}

-1

\frac{π}{2}

Answer Details

y = xsinx
$\frac{d y}{d x}$ = $1 \sin x + x \cos x$
= $\sin x + x \cos x$
At x = $\frac{π}{2}$
= sin $\frac{π}{r}$ + $\frac{π}{2} \cos \frac{π}{2}$
= 1 + $\frac{π}{2}$ × 10
= 1

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If y = x Sin x, find dydx d y d x when x = π2

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