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

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

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

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

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

6 x^{2} sin (x^{3}) cos (x^{3})

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 6 x^{2} sin (x^{3}) cos (x^{3})

4 x lo g_{10} (x^{9})

\int \frac{5 x ^{7} - 9 x ^{5}}{x ^{3}} d x

f (x) = \frac{2 x}{2 + x}

\frac{\partial}{\partial x} (4 x cos (y))

5 sin (4 t)

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