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

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

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

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

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derivative of

f (x) = 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{1}{1 + 121 x ^{2}} d x

7 x e^{6 x}

\frac{d}{d t} (7 t^{2} - 5 t + 3)

x^{\frac{1}{2}}

\frac{\partial}{\partial x} (- 2 x e^{2 x y})

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