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Popular >

derivative of f(x)=a^4+cos^4(x)

Solution

derivative of

f (x) = a^{4} + cos^{4} (x)

Solution

- 4 cos^{3} (x) sin (x)

Solution steps

\frac{d}{d x} (a^{4} + cos^{4} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a^{4}) + \frac{d}{d x} (cos^{4} (x))

\frac{d}{d x} (a^{4}) = 0

\frac{d}{d x} (cos^{4} (x)) = - 4 cos^{3} (x) sin (x)

= 0 - 4 cos^{3} (x) sin (x)

Simplify

= - 4 cos^{3} (x) sin (x)

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=a^4+cos^4(x) ?
The derivative of f(x)=a^4+cos^4(x) is -4cos^3(x)sin(x)
What is the first derivative of f(x)=a^4+cos^4(x) ?
The first derivative of f(x)=a^4+cos^4(x) is -4cos^3(x)sin(x)