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

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

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

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

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derivative of

sin (x^{4})

cos (x^{4}) \cdot 4 x^{3}

Solution steps

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

Apply the chain rule:

cos (x^{4}) \frac{d}{d x} (x^{4})

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

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

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

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