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

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

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

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

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

12 x^{3} sin^{2} (x^{4}) cos (x^{4})

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 12 x^{3} sin^{2} (x^{4}) cos (x^{4})

2^{x + 2}

\int \frac{1}{4 x + 8} d x

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

\frac{\partial}{\partial x} (k (1 + a e^{- b (x, w, t) x}) (1 + cos (wt)))

\frac{d}{d x} ((7 x + 4)^{2})

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