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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

3 x^{\frac{4}{3}} - 2 x^{\frac{1}{7}}

x \to - 3 lim (\frac{( x ^{2} + 7 x + 12 )}{x ^{2} - 9})

x \to 3 lim (\frac{x ^{2} - 9}{x + 1})

\int 4 cos (6 x) d x

\int - \frac{3 x}{2} d x

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