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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (a^{7}) = 0

\frac{d}{d x} (cos^{7} (x)) = - 7 cos^{6} (x) sin (x)

= 0 - 7 cos^{6} (x) sin (x)

Simplify

= - 7 cos^{6} (x) sin (x)

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