What is the derivative of y=cos(a^7+x^7) ?

The derivative of y=cos(a^7+x^7) is -sin(a^7+x^7)*7x^6

What is the first derivative of y=cos(a^7+x^7) ?

The first derivative of y=cos(a^7+x^7) is -sin(a^7+x^7)*7x^6

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derivative of

y = cos (a^{7} + x^{7})

- sin (a^{7} + x^{7}) \cdot 7 x^{6}

Solution steps

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

Apply the chain rule:

- sin (a^{7} + x^{7}) \frac{d}{d x} (a^{7} + x^{7})

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

\frac{d}{d x} (a^{7} + x^{7}) = 7 x^{6}

= - sin (a^{7} + x^{7}) \cdot 7 x^{6}

What is the derivative of y=cos(a^7+x^7) ?
The derivative of y=cos(a^7+x^7) is -sin(a^7+x^7)*7x^6
What is the first derivative of y=cos(a^7+x^7) ?
The first derivative of y=cos(a^7+x^7) is -sin(a^7+x^7)*7x^6