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Popular >

derivative of cos(a^4+x^4)

Solution

derivative of

cos (a^{4} + x^{4})

Solution

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

Solution steps

\frac{d}{d x} (cos (a^{4} + x^{4}))

Apply the chain rule:

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

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

\frac{d}{d x} (a^{4} + x^{4}) = 4 x^{3}

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

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Frequently Asked Questions (FAQ)

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