What is the derivative of sin^2(3x^2-1) ?

The derivative of sin^2(3x^2-1) is 12xsin(3x^2-1)cos(3x^2-1)

What is the first derivative of sin^2(3x^2-1) ?

The first derivative of sin^2(3x^2-1) is 12xsin(3x^2-1)cos(3x^2-1)

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\frac{d}{d x} (sin^{2} (3 x^{2} - 1))

12 x sin (3 x^{2} - 1) cos (3 x^{2} - 1)

Solution steps

\frac{d}{d x} (sin^{2} (3 x^{2} - 1))

Apply the chain rule:

2 sin (3 x^{2} - 1) \frac{d}{d x} (sin (3 x^{2} - 1))

= 2 sin (3 x^{2} - 1) \frac{d}{d x} (sin (3 x^{2} - 1))

\frac{d}{d x} (sin (3 x^{2} - 1)) = cos (3 x^{2} - 1) \cdot 6 x

= 2 sin (3 x^{2} - 1) cos (3 x^{2} - 1) \cdot 6 x

Simplify

= 12 x sin (3 x^{2} - 1) cos (3 x^{2} - 1)

\frac{3 ( x - 1 )}{4 x x}

t e^{- 2 t} cos (3 t)

\int \frac{1}{k s} d s

\int \frac{1}{x ^{2} - 0.01} d x

\frac{d}{d x} (3 - \frac{1}{x})

What is the derivative of sin^2(3x^2-1) ?
The derivative of sin^2(3x^2-1) is 12xsin(3x^2-1)cos(3x^2-1)
What is the first derivative of sin^2(3x^2-1) ?
The first derivative of sin^2(3x^2-1) is 12xsin(3x^2-1)cos(3x^2-1)