What is the derivative of sin(x^{12}) ?

The derivative of sin(x^{12}) is cos(x^{12})*12x^{11}

What is the first derivative of sin(x^{12}) ?

The first derivative of sin(x^{12}) is cos(x^{12})*12x^{11}

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\frac{d}{d x} (sin (x^{12}))

cos (x^{12}) \cdot 12 x^{11}

Solution steps

\frac{d}{d x} (sin (x^{12}))

Apply the chain rule:

cos (x^{12}) \frac{d}{d x} (x^{12})

= cos (x^{12}) \frac{d}{d x} (x^{12})

\frac{d}{d x} (x^{12}) = 12 x^{11}

= cos (x^{12}) \cdot 12 x^{11}

x \to 0 lim (\frac{- 1}{x})

x^{2} sin (x) tan (x)

\int (3 x + 1) (2 - x) d x

y = x^{3}, (- 1, - 1)

5 sin (2 x)

What is the derivative of sin(x^{12}) ?
The derivative of sin(x^{12}) is cos(x^{12})*12x^{11}
What is the first derivative of sin(x^{12}) ?
The first derivative of sin(x^{12}) is cos(x^{12})*12x^{11}