What is the derivative of 9x^4 ?

The derivative of 9x^4 is 36x^3

What is the first derivative of 9x^4 ?

The first derivative of 9x^4 is 36x^3

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\frac{d}{d x} (9 x^{4})

36 x^{3}

Solution steps

\frac{d}{d x} (9 x^{4})

Take the constant out:

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

= 9 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 9 \cdot 4 x^{4 - 1}

Simplify

= 36 x^{3}

\int \frac{x}{2 - 3 x} d x

\frac{d}{d x} (\frac{1}{( 3 x + 8 ) ^{2}})

\frac{\partial}{\partial x} (\frac{3 x}{y})

x \to - 1 - lim (x + 2)

\int \frac{1 - 3 x}{3 + 2 x} d x