Provide the differential expression d y = f ′ ( x ) d x dy=f^{\prime}\left(x\right)dx for the following function: f ( x ) = 2 sin ⁡ 2 ( 2 x ) f\left(x\right)=2\sin^2\left(2x\right)

d y = 4 sin ⁡ ( 4 x ) d x dy=4\sin\left(4x\right)dx

d y = − 4 sin ⁡ ( 4 x ) d x dy=-4\sin\left(4x\right)dx

d y = 2 sin ⁡ ( 4 x ) d x dy=2\sin\left(4x\right)dx

d y = − 2 sin ⁡ ( 4 x ) d x dy=-2\sin\left(4x\right)dx

Differentials

4. Applications of Derivatives / Differentials / Problem 2

Problem 2

Provide the differential expression $d y = f^{'} (x) d x$ for the following function:
$f of x equals 2 sine squared 2 x$

$d y equals 4 sine 4 x d x$

$d y = - 4 \sin (4 x) d x$

$d y equals 2 sine 4 x d x$

$d y = - 2 \sin (4 x) d x$