What is the derivative of sin^2(4x) ?

The derivative of sin^2(4x) is 4sin(8x)

What is the first derivative of sin^2(4x) ?

The first derivative of sin^2(4x) is 4sin(8x)

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derivative of

sin^{2} (4 x)

4 sin (8 x)

Solution steps

\frac{d}{d x} (sin^{2} (4 x))

Apply the chain rule:

2 sin (4 x) \frac{d}{d x} (sin (4 x))

= 2 sin (4 x) \frac{d}{d x} (sin (4 x))

\frac{d}{d x} (sin (4 x)) = cos (4 x) \cdot 4

= 2 sin (4 x) cos (4 x) \cdot 4

Simplify

2 sin (4 x) cos (4 x) \cdot 4 : 4 sin (8 x)

= 4 sin (8 x)

n = 1 \sum \infty 4^{n} x^{n} n!

n = 1 \sum \infty \frac{ln ( n )}{n}

\int \frac{( 9 x + 14 )}{( x - 2 ) ( x ^{2} + 4 )} d x

\int (2 x + 7)^{3} d x

\frac{d}{d x} (200 + \frac{7}{x} + \frac{x ^{2}}{7})

What is the derivative of sin^2(4x) ?
The derivative of sin^2(4x) is 4sin(8x)
What is the first derivative of sin^2(4x) ?
The first derivative of sin^2(4x) is 4sin(8x)