What is the derivative of y=cos(a^6+x^6) ?

The derivative of y=cos(a^6+x^6) is -sin(a^6+x^6)*6x^5

What is the first derivative of y=cos(a^6+x^6) ?

The first derivative of y=cos(a^6+x^6) is -sin(a^6+x^6)*6x^5

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derivative of

y = cos (a^{6} + x^{6})

- sin (a^{6} + x^{6}) \cdot 6 x^{5}

Solution steps

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

Apply the chain rule:

- sin (a^{6} + x^{6}) \frac{d}{d x} (a^{6} + x^{6})

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

\frac{d}{d x} (a^{6} + x^{6}) = 6 x^{5}

= - sin (a^{6} + x^{6}) \cdot 6 x^{5}

\int \frac{4}{15} x^{\frac{5}{2}} + 9 cos (x) + C x + C d x

\int \frac{1}{x ^{2}} + \frac{1}{x} d x

x \to \frac{π}{2} lim (9 tan (x))

\frac{d}{d x} (ln (ln (6 x)))

\int e^{t (1 - s)} d t

What is the derivative of y=cos(a^6+x^6) ?
The derivative of y=cos(a^6+x^6) is -sin(a^6+x^6)*6x^5
What is the first derivative of y=cos(a^6+x^6) ?
The first derivative of y=cos(a^6+x^6) is -sin(a^6+x^6)*6x^5