What is the derivative of 0.1*x^4 ?

The derivative of 0.1*x^4 is 0.4x^3

What is the first derivative of 0.1*x^4 ?

The first derivative of 0.1*x^4 is 0.4x^3

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\frac{d}{d x} (0.1 \cdot x^{4})

0.4 x^{3}

Solution steps

\frac{d}{d x} (0.1 x^{4})

Take the constant out:

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

= 0.1 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 0.1 \cdot 4 x^{4 - 1}

Simplify

= 0.4 x^{3}

cos (x) + sin (x) + \frac{1}{2} x^{2} + \frac{1}{x}

x \cdot e^{x}

\frac{d}{d t} (cos (120 π) t)

\int_{0}^{l} sin^{2} (\frac{nπ x}{l}) d x

\int cos (1 - x) d x

What is the derivative of 0.1*x^4 ?
The derivative of 0.1*x^4 is 0.4x^3
What is the first derivative of 0.1*x^4 ?
The first derivative of 0.1*x^4 is 0.4x^3