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

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

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

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

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derivative of

cos (sin (5) x^{3})

- sin (sin (5) x^{3}) \cdot 3 sin (5) x^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

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