What is the derivative of a^8+cos^8(x) ?

The derivative of a^8+cos^8(x) is -8cos^7(x)sin(x)

What is the first derivative of a^8+cos^8(x) ?

The first derivative of a^8+cos^8(x) is -8cos^7(x)sin(x)

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derivative of

a^{8} + cos^{8} (x)

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

Solution steps

\frac{d}{d x} (a^{8} + cos^{8} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a^{8}) + \frac{d}{d x} (cos^{8} (x))

\frac{d}{d x} (a^{8}) = 0

\frac{d}{d x} (cos^{8} (x)) = - 8 cos^{7} (x) sin (x)

= 0 - 8 cos^{7} (x) sin (x)

Simplify

= - 8 cos^{7} (x) sin (x)

\int \frac{3 x ^{5} - 2 x ^{3} + 5 x ^{2} - 2}{x ^{3} + 1} d x

x \to 4 lim (\frac{3 x}{4} + 2)

\frac{d}{d x} ((x^{2} - 3)^{3})

f (x) = (x - 2) (5 x + 3)

f (x) = \frac{1}{x}, at x = - 1

What is the derivative of a^8+cos^8(x) ?
The derivative of a^8+cos^8(x) is -8cos^7(x)sin(x)
What is the first derivative of a^8+cos^8(x) ?
The first derivative of a^8+cos^8(x) is -8cos^7(x)sin(x)