What is the derivative of 6x^{70} ?

The derivative of 6x^{70} is 420x^{69}

What is the first derivative of 6x^{70} ?

The first derivative of 6x^{70} is 420x^{69}

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\frac{d}{d x} (6 x^{70})

420 x^{69}

Solution steps

\frac{d}{d x} (6 x^{70})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{70})

Apply the Power Rule:

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

= 6 \cdot 70 x^{70 - 1}

Simplify

= 420 x^{69}

What is the derivative of 6x^{70} ?
The derivative of 6x^{70} is 420x^{69}
What is the first derivative of 6x^{70} ?
The first derivative of 6x^{70} is 420x^{69}