What is the derivative of f(x)=2(x)^4 ?

The derivative of f(x)=2(x)^4 is 8x^3

What is the first derivative of f(x)=2(x)^4 ?

The first derivative of f(x)=2(x)^4 is 8x^3

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derivative of

f (x) = 2 (x)^{4}

8 x^{3}

Solution steps

\frac{d}{d x} (2 x^{4})

Take the constant out:

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

= 2 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 2 \cdot 4 x^{4 - 1}

Simplify

= 8 x^{3}

f (x) = ln (3 x + 2)

\frac{24}{x ^{2} + 12}

x 3600 - x^{2}

3 e^{- 2 t} + e^{- t}

\frac{d}{d x} ((\frac{x ^{2} + 3}{x ^{2} - 3})^{2})

What is the derivative of f(x)=2(x)^4 ?
The derivative of f(x)=2(x)^4 is 8x^3
What is the first derivative of f(x)=2(x)^4 ?
The first derivative of f(x)=2(x)^4 is 8x^3