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

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

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

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

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derivative of

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

- 6 cos^{5} (x) sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (a^{6}) = 0

\frac{d}{d x} (cos^{6} (x)) = - 6 cos^{5} (x) sin (x)

= 0 - 6 cos^{5} (x) sin (x)

Simplify

= - 6 cos^{5} (x) sin (x)

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