What is the derivative of (2x^8) ?

The derivative of (2x^8) is 2048x^7

What is the first derivative of (2x^8) ?

The first derivative of (2x^8) is 2048x^7

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\frac{d}{d x} ((2 x)^{8})

2048 x^{7}

Solution steps

\frac{d}{d x} ((2 x)^{8})

Simplify

(2 x)^{8} : 256 x^{8}

= \frac{d}{d x} (256 x^{8})

Take the constant out:

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

= 256 \frac{d}{d x} (x^{8})

Apply the Power Rule:

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

= 256 \cdot 8 x^{8 - 1}

Simplify

= 2048 x^{7}

x \to 0 + lim (6 - ln (x))

n = 3 \sum \infty \frac{1}{n + 2}

y^{^{'}} (x) = \frac{3 x ^{2}}{3 y ^{2} - 7}, y (1) = 0

f (x) = 3 x + 4, (7, 5)

\frac{\partial}{\partial x} (0.1 \cdot y^{2} + 0.05 \cdot x \cdot y)

What is the derivative of (2x^8) ?
The derivative of (2x^8) is 2048x^7
What is the first derivative of (2x^8) ?
The first derivative of (2x^8) is 2048x^7