What is the derivative of cos(3x^2+1) ?

The derivative of cos(3x^2+1) is -sin(3x^2+1)*6x

What is the first derivative of cos(3x^2+1) ?

The first derivative of cos(3x^2+1) is -sin(3x^2+1)*6x

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

- sin (3 x^{2} + 1) \cdot 6 x

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2} + 1) = 6 x

= - sin (3 x^{2} + 1) \cdot 6 x

What is the derivative of cos(3x^2+1) ?
The derivative of cos(3x^2+1) is -sin(3x^2+1)*6x
What is the first derivative of cos(3x^2+1) ?
The first derivative of cos(3x^2+1) is -sin(3x^2+1)*6x