What is the derivative of 3x^6 ?

The derivative of 3x^6 is 18x^5

What is the first derivative of 3x^6 ?

The first derivative of 3x^6 is 18x^5

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\frac{d}{d x} (3 x^{6})

18 x^{5}

Solution steps

\frac{d}{d x} (3 x^{6})

Take the constant out:

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

= 3 \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

= 3 \cdot 6 x^{6 - 1}

Simplify

= 18 x^{5}

x \to 0 - lim (\frac{23}{tan ( x )})

f (x) = \frac{6}{x + 1}

x \to + 1 + lim (\frac{7}{1 - x})

\int \frac{27}{x ^{2}} d x

\int \frac{2}{x ( x - 2 ) ^{2}} d x