What is the derivative of 5x^6 ?

The derivative of 5x^6 is 30x^5

What is the first derivative of 5x^6 ?

The first derivative of 5x^6 is 30x^5

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\frac{d}{d x} (5 x^{6})

30 x^{5}

Solution steps

\frac{d}{d x} (5 x^{6})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (x^{6})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 5 \cdot 6 x^{6 - 1}

Simplify

= 30 x^{5}

s \to - 1 lim (\frac{1}{s ^{2} + 2 s + 1})

d er i v a t i v e (\frac{( x + 11 )}{( x - 11 )})^{5}

d er i v a t i v e y = x - 1

\int \frac{4}{15} t^{\frac{5}{2}} + 3 cos (t) + Ct + C d t

(2 y^{2} + 3 x y - 2 y + 6 x) d x + x (x + 2 y - 1) d y = 0