What is the derivative of 3x^4 ?

The derivative of 3x^4 is 12x^3

What is the first derivative of 3x^4 ?

The first derivative of 3x^4 is 12x^3

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derivative of

3 x^{4}

12 x^{3}

Solution steps

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

Take the constant out:

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

= 3 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 3 \cdot 4 x^{4 - 1}

Simplify

= 12 x^{3}

\frac{\partial}{\partial x} (\frac{x ^{2} + y ^{2}}{x + y})

y = \frac{590}{x}

y = 6 x - x^{2}, y = x^{2} - 2 x

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

x + 2, 0, 1, 3