What is the derivative of sin^3(4x) ?

The derivative of sin^3(4x) is 12sin^2(4x)cos(4x)

What is the first derivative of sin^3(4x) ?

The first derivative of sin^3(4x) is 12sin^2(4x)cos(4x)

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derivative of

sin^{3} (4 x)

12 sin^{2} (4 x) cos (4 x)

Solution steps

\frac{d}{d x} (sin^{3} (4 x))

Apply the chain rule:

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

= 3 (sin (4 x))^{2} \frac{d}{d x} (sin (4 x))

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

= 3 (sin (4 x))^{2} cos (4 x) \cdot 4

Simplify

= 12 sin^{2} (4 x) cos (4 x)

\int 3 x^{2} (x^{3} - 4)^{4} d x

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

y^{^{'}} = x + y

y^{^{''}} + y = sin (6 t), y (0) = 0, y^{^{'}} (0) = 0

\frac{\partial}{\partial x} (1 + cos^{4} (x^{4}))

What is the derivative of sin^3(4x) ?
The derivative of sin^3(4x) is 12sin^2(4x)cos(4x)
What is the first derivative of sin^3(4x) ?
The first derivative of sin^3(4x) is 12sin^2(4x)cos(4x)