What is the derivative of x^5+5 ?

The derivative of x^5+5 is 5x^4

What is the first derivative of x^5+5 ?

The first derivative of x^5+5 is 5x^4

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

5 x^{4}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 5 x^{4} + 0

Simplify

= 5 x^{4}

f (x) = x (x + 2) (x - 1), {- 2, 1}

\int cos (n x π) d x

f (x) = \frac{x + 6}{x - 6}

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

x \to 0 + lim (- x^{2} ln (6 x^{3}))