What is the derivative of a^4+cos^4(x) ?

The derivative of a^4+cos^4(x) is -4cos^3(x)sin(x)

What is the first derivative of a^4+cos^4(x) ?

The first derivative of a^4+cos^4(x) is -4cos^3(x)sin(x)

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derivative of

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

- 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)

\int_{0}^{1} y d y

x \to 0 lim (\frac{- 6}{x ^{2}})

\int \frac{2}{( x + 1 ) ( x + 2 )} d x

n = 1 \sum \infty 2 (0.4)^{n - 1}

\int x (x^{2} - 36)^{\frac{1}{2}} d x

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