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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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