What is the derivative of cos(3x^7+2) ?

The derivative of cos(3x^7+2) is -sin(3x^7+2)*21x^6

What is the first derivative of cos(3x^7+2) ?

The first derivative of cos(3x^7+2) is -sin(3x^7+2)*21x^6

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\frac{d}{d x} (cos (3 x^{7} + 2))

- sin (3 x^{7} + 2) \cdot 21 x^{6}

Solution steps

\frac{d}{d x} (cos (3 x^{7} + 2))

Apply the chain rule:

- sin (3 x^{7} + 2) \frac{d}{d x} (3 x^{7} + 2)

= - sin (3 x^{7} + 2) \frac{d}{d x} (3 x^{7} + 2)

\frac{d}{d x} (3 x^{7} + 2) = 21 x^{6}

= - sin (3 x^{7} + 2) \cdot 21 x^{6}

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What is the derivative of cos(3x^7+2) ?
The derivative of cos(3x^7+2) is -sin(3x^7+2)*21x^6
What is the first derivative of cos(3x^7+2) ?
The first derivative of cos(3x^7+2) is -sin(3x^7+2)*21x^6