What is the derivative of (x^6/2) ?

The derivative of (x^6/2) is 3x^5

What is the first derivative of (x^6/2) ?

The first derivative of (x^6/2) is 3x^5

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\frac{d}{d x} (\frac{x ^{6}}{2})

3 x^{5}

Solution steps

\frac{d}{d x} (\frac{x ^{6}}{2})

Take the constant out:

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

= \frac{1}{2} \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

= \frac{1}{2} \cdot 6 x^{6 - 1}

Simplify

\frac{1}{2} \cdot 6 x^{6 - 1} : 3 x^{5}

= 3 x^{5}

ln (x + x^{2} - 3)

\int_{0}^{1} 2 π (2 - y) (8 y^{2}) d y

\frac{\partial}{\partial x} (8 x^{6} y^{7} - 7 x^{5} y^{6})

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

\frac{1}{3} x^{3}

What is the derivative of (x^6/2) ?
The derivative of (x^6/2) is 3x^5
What is the first derivative of (x^6/2) ?
The first derivative of (x^6/2) is 3x^5