What is the derivative of 4sin^2(3x) ?

The derivative of 4sin^2(3x) is 12sin(6x)

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

The first derivative of 4sin^2(3x) is 12sin(6x)

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

12 sin (6 x)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin (3 x)) = cos (3 x) \cdot 3

= 4 \cdot 2 sin (3 x) cos (3 x) \cdot 3

Simplify

4 \cdot 2 sin (3 x) cos (3 x) \cdot 3 : 12 sin (6 x)

= 12 sin (6 x)

y^{^{''}} + 10 y^{^{'}} + 25 y = e^{- 4 x} (x^{2} + 2 x - 4)

x^{^{''}} - 2 x = 0

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

(7, - 2), (3, 5)

\frac{d}{d x} ((1 - x^{2})^{- \frac{1}{2}})

What is the derivative of 4sin^2(3x) ?
The derivative of 4sin^2(3x) is 12sin(6x)
What is the first derivative of 4sin^2(3x) ?
The first derivative of 4sin^2(3x) is 12sin(6x)