What is the derivative of 7x^3 ?

The derivative of 7x^3 is 21x^2

What is the first derivative of 7x^3 ?

The first derivative of 7x^3 is 21x^2

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derivative of

7 x^{3}

21 x^{2}

Solution steps

\frac{d}{d x} (7 x^{3})

Take the constant out:

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

= 7 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= 7 \cdot 3 x^{3 - 1}

Simplify

= 21 x^{2}

\frac{\partial}{\partial x} (cos (x) + sin (y))

\int x^{6} ln (2 x) d x

\frac{d y}{d t} = 3 y + y^{6}

f (x) = \frac{2 - x e ^{x}}{x + e ^{x}}

e^{x} \cdot cos (x)