What is the derivative of cos(2x^{11}) ?

The derivative of cos(2x^{11}) is -sin(2x^{11})*22x^{10}

What is the first derivative of cos(2x^{11}) ?

The first derivative of cos(2x^{11}) is -sin(2x^{11})*22x^{10}

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derivative of

cos (2 x^{11})

- sin (2 x^{11}) \cdot 22 x^{10}

Solution steps

\frac{d}{d x} (cos (2 x^{11}))

Apply the chain rule:

- sin (2 x^{11}) \frac{d}{d x} (2 x^{11})

= - sin (2 x^{11}) \frac{d}{d x} (2 x^{11})

\frac{d}{d x} (2 x^{11}) = 22 x^{10}

= - sin (2 x^{11}) \cdot 22 x^{10}

What is the derivative of cos(2x^{11}) ?
The derivative of cos(2x^{11}) is -sin(2x^{11})*22x^{10}
What is the first derivative of cos(2x^{11}) ?
The first derivative of cos(2x^{11}) is -sin(2x^{11})*22x^{10}