What is the derivative of 8x^6 ?

The derivative of 8x^6 is 48x^5

What is the first derivative of 8x^6 ?

The first derivative of 8x^6 is 48x^5

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\frac{d}{d x} (8 x^{6})

48 x^{5}

Solution steps

\frac{d}{d x} (8 x^{6})

Take the constant out:

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

= 8 \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

= 8 \cdot 6 x^{6 - 1}

Simplify

= 48 x^{5}

x \to \infty lim (e^{2 x})

f (x) = \frac{3 x - 9}{x + 5}

n = 1 \sum \infty (0.01)^{n}

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

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