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}

f (x) = \frac{2}{x - 1}, at x = 4

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

6 - 5 x

(\frac{( x + 11 )}{( x - 11 )})^{5}

\frac{d}{d x} (3 x - x^{2},)