What is the derivative of cos(x^3+5x) ?

The derivative of cos(x^3+5x) is -sin(x^3+5x)(3x^2+5)

What is the first derivative of cos(x^3+5x) ?

The first derivative of cos(x^3+5x) is -sin(x^3+5x)(3x^2+5)

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\frac{d}{d x} (cos (x^{3} + 5 x))

- sin (x^{3} + 5 x) (3 x^{2} + 5)

Solution steps

\frac{d}{d x} (cos (x^{3} + 5 x))

Apply the chain rule:

- sin (x^{3} + 5 x) \frac{d}{d x} (x^{3} + 5 x)

= - sin (x^{3} + 5 x) \frac{d}{d x} (x^{3} + 5 x)

\frac{d}{d x} (x^{3} + 5 x) = 3 x^{2} + 5

= - sin (x^{3} + 5 x) (3 x^{2} + 5)

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

t^{2}

\frac{\partial}{\partial x} ((x^{2} + y^{2})^{- \frac{1}{2}})

1 + e^{0.5499 - 0.09 x}

y = cos (ln (4 x^{3}))

What is the derivative of cos(x^3+5x) ?
The derivative of cos(x^3+5x) is -sin(x^3+5x)(3x^2+5)
What is the first derivative of cos(x^3+5x) ?
The first derivative of cos(x^3+5x) is -sin(x^3+5x)(3x^2+5)