What is the derivative of 5x^6 ?

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

What is the first derivative of 5x^6 ?

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

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derivative of

5 x^{6}

30 x^{5}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 30 x^{5}

2 e^{3} t sin (2 t)

6 x^{4} - 7 x^{2} + 9

3 x + y^{2}

tan (e^{s}) in x^{2}

(1 + x)^{2 y + 1}