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

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

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

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

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derivative of

y = (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 1 lim ((ln (x))^{2})

(- 3 x + 1)^{3} (2 x - 1)^{4}

\frac{d}{d x} (\frac{- x ^{2} - 2 x}{( x ^{2} + x + 1 ) ^{2}})

x y y^{^{'}} = x^{2} y + y^{2}

\frac{\partial}{\partial y} (y cos (x) + 2 x e^{y})

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