What is the derivative of 56x^6 ?

The derivative of 56x^6 is 336x^5

What is the first derivative of 56x^6 ?

The first derivative of 56x^6 is 336x^5

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\frac{d}{d x} (56 x^{6})

336 x^{5}

Solution steps

\frac{d}{d x} (56 x^{6})

Take the constant out:

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

= 56 \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

= 56 \cdot 6 x^{6 - 1}

Simplify

= 336 x^{5}

\frac{d}{d x} (\frac{x ^{2} - 3}{x ^{2} - 4})

[\frac{3 + s}{( s + 1 ) ^{2}}]

1000

x \to 0 lim (\frac{8 ^{x} - 1 0 ^{x}}{x})

y = \frac{4 x}{3}