What is the derivative of f(x)=cos(x^3) ?

The derivative of f(x)=cos(x^3) is -sin(x^3)*3x^2

What is the first derivative of f(x)=cos(x^3) ?

The first derivative of f(x)=cos(x^3) is -sin(x^3)*3x^2

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derivative

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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