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

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

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

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

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

cos (3 x^{4}) \cdot 12 x^{3}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

= cos (3 x^{4}) \cdot 12 x^{3}

\frac{d}{d x} (6 sin (x) - 8 e^{x})

\frac{d ^{2}}{d x ^{2}} (\frac{1 - 5 x}{1 + 5 x})

f (x) = 2 x^{2} - 5 x, (- 1, 7)

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

\frac{d}{d x} (a^{2} + b x + c)

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