What is the derivative of cos(x^3-4) ?

The derivative of cos(x^3-4) is -sin(x^3-4)*3x^2

What is the first derivative of cos(x^3-4) ?

The first derivative of cos(x^3-4) is -sin(x^3-4)*3x^2

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\frac{d}{d x} (cos (x^{3} - 4))

- sin (x^{3} - 4) \cdot 3 x^{2}

Solution steps

\frac{d}{d x} (cos (x^{3} - 4))

Apply the chain rule:

- sin (x^{3} - 4) \frac{d}{d x} (x^{3} - 4)

= - sin (x^{3} - 4) \frac{d}{d x} (x^{3} - 4)

\frac{d}{d x} (x^{3} - 4) = 3 x^{2}

= - sin (x^{3} - 4) \cdot 3 x^{2}

\int_{- 2}^{0} x 4 - x^{2} d x

\int_{7}^{\infty} \frac{1}{x ^{2} + x} d x

\int 2 x x^{2} - 4 d x

f (x) = \frac{1}{x}, [1, 3]

\int_{0}^{2} t^{3} (2 + t^{4})^{3} d t

What is the derivative of cos(x^3-4) ?
The derivative of cos(x^3-4) is -sin(x^3-4)*3x^2
What is the first derivative of cos(x^3-4) ?
The first derivative of cos(x^3-4) is -sin(x^3-4)*3x^2