What is the derivative of a^5+cos^5(x) ?

The derivative of a^5+cos^5(x) is -5cos^4(x)sin(x)

What is the first derivative of a^5+cos^5(x) ?

The first derivative of a^5+cos^5(x) is -5cos^4(x)sin(x)

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derivative of

a^{5} + cos^{5} (x)

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

Solution steps

\frac{d}{d x} (a^{5} + cos^{5} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a^{5}) + \frac{d}{d x} (cos^{5} (x))

\frac{d}{d x} (a^{5}) = 0

\frac{d}{d x} (cos^{5} (x)) = - 5 cos^{4} (x) sin (x)

= 0 - 5 cos^{4} (x) sin (x)

Simplify

= - 5 cos^{4} (x) sin (x)

n = 1 \sum \infty (- 3)^{- 3 n - 1}

f (x) = e^{3 x}, (0, 1)

\frac{d}{d x} ((2 x + 5) (x + 1))

\frac{d}{d x} (\frac{4 ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}})

y + y^{^{'}} = sin (t)

What is the derivative of a^5+cos^5(x) ?
The derivative of a^5+cos^5(x) is -5cos^4(x)sin(x)
What is the first derivative of a^5+cos^5(x) ?
The first derivative of a^5+cos^5(x) is -5cos^4(x)sin(x)