d dx ( 2 x^2 ) equals - Vidyadip

MCQ

${d \over {dx}}(\sin 2{x^2})$ equals

✓
$4x\cos \,(2{x^2})$
B
$2\sin {x^2}\cos {x^2}$
C
$4x\sin ({x^2})$
D
$4x\sin ({x^2})\cos ({x^2})$

✓

Answer

Correct option: A.

$4x\cos \,(2{x^2})$

a
(a) $\frac{d}{{dx}}(\sin 2{x^2}) = \cos 2{x^2}.\frac{d}{{dx}}2{x^2} = \cos 2{x^2}.4x = 4x.\cos 2{x^2}$.

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