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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

x = y^{2} + 4 y - 22, x = 3 y + 8

x - tan (x)

x (x + y) \frac{d y}{d x} = y (x - y)

4 x + 9

n = 1 \sum \infty 8 - 7 (0.8)^{n}

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