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}

y^{^{''}} - y^{^{'}} - 2 y = - 2 t + 10 t^{2}

\int \frac{1}{5 x + 16} d x

y = 9 x^{2}, y = x^{2} + 7

h \to 0 lim (2 x h)

n = 5 \sum \infty \frac{1}{n ^{2}}

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}