What is the derivative of 6x^5 ?

The derivative of 6x^5 is 30x^4

What is the first derivative of 6x^5 ?

The first derivative of 6x^5 is 30x^4

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derivative of

6 x^{5}

30 x^{4}

Solution steps

\frac{d}{d x} (6 x^{5})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{5})

Apply the Power Rule:

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

= 6 \cdot 5 x^{5 - 1}

Simplify

= 30 x^{4}

\int \frac{sec ( θ ) tan ( θ )}{sec ^{2} ( θ ) - sec ( θ )} d θ

\int (a + x - x^{2}) d x

\int 7 x^{\frac{2}{5}} + 8 x^{- \frac{4}{5}} d x

\frac{\partial}{\partial x} (\frac{( 2 x - y )}{5 x + 3 y})

x^{2} y^{^{''}} + x y^{^{'}} - y = ln (x)