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

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

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

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

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derivative of

y = 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)

\frac{d}{d x} (\frac{2 x ^{\frac{5}{2}}}{5})

y = x^{2} - 2 x - 3, (2, - 3)

\frac{\partial}{\partial x} (x y)

f (x) = x^{4} - 4 x^{3} + 8, at x = 2

\int 2 x^{3} - 6 x^{2} + 2 x - 1 + (\frac{2}{x}) d x

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