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

The derivative of sin^3(x^3) is 9x^2sin^2(x^3)cos(x^3)

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

The first derivative of sin^3(x^3) is 9x^2sin^2(x^3)cos(x^3)

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 9 x^{2} sin^{2} (x^{3}) cos (x^{3})

(\frac{x + 2}{x - 2})^{5}

f (1) = 2 x^{3}

\frac{1}{s ^{3} ( s + 1 )}

\int 0.06 x - 0.6 - \frac{7700}{x ^{2}} d x

\int_{- 1}^{1} 1 2^{x} d x

What is the derivative of sin^3(x^3) ?
The derivative of sin^3(x^3) is 9x^2sin^2(x^3)cos(x^3)
What is the first derivative of sin^3(x^3) ?
The first derivative of sin^3(x^3) is 9x^2sin^2(x^3)cos(x^3)