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

The derivative of (x/2 ^4) is (x^3)/4

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

The first derivative of (x/2 ^4) is (x^3)/4

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

\frac{x ^{3}}{4}

Solution steps

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

Apply the chain rule:

4 (\frac{x}{2})^{3} \frac{d}{d x} (\frac{x}{2})

= 4 (\frac{x}{2})^{3} \frac{d}{d x} (\frac{x}{2})

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= 4 (\frac{x}{2})^{3} \frac{1}{2}

Simplify

4 (\frac{x}{2})^{3} \frac{1}{2} : \frac{x ^{3}}{4}

= \frac{x ^{3}}{4}

y (θ) = \frac{π}{7} cos (θ)

\int \frac{3 x + 1}{x ^{3} - x ^{2} + x - 1} d x

\int e^{x} sin (y) d x

\frac{d}{d x} (y^{2} - 2 y \cdot cos (x))

(1 + cos (t)) y^{^{'}} = (1 + e - y) sin (t), y (0) = 0

What is the derivative of (x/2 ^4) ?
The derivative of (x/2 ^4) is (x^3)/4
What is the first derivative of (x/2 ^4) ?
The first derivative of (x/2 ^4) is (x^3)/4