What is the derivative of f(x)=cos(a^8+x^8) ?

The derivative of f(x)=cos(a^8+x^8) is -sin(a^8+x^8)*8x^7

What is the first derivative of f(x)=cos(a^8+x^8) ?

The first derivative of f(x)=cos(a^8+x^8) is -sin(a^8+x^8)*8x^7

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derivative of

f (x) = cos (a^{8} + x^{8})

- sin (a^{8} + x^{8}) \cdot 8 x^{7}

Solution steps

\frac{d}{d x} (cos (a^{8} + x^{8}))

Apply the chain rule:

- sin (a^{8} + x^{8}) \frac{d}{d x} (a^{8} + x^{8})

= - sin (a^{8} + x^{8}) \frac{d}{d x} (a^{8} + x^{8})

\frac{d}{d x} (a^{8} + x^{8}) = 8 x^{7}

= - sin (a^{8} + x^{8}) \cdot 8 x^{7}

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What is the derivative of f(x)=cos(a^8+x^8) ?
The derivative of f(x)=cos(a^8+x^8) is -sin(a^8+x^8)*8x^7
What is the first derivative of f(x)=cos(a^8+x^8) ?
The first derivative of f(x)=cos(a^8+x^8) is -sin(a^8+x^8)*8x^7