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}

\frac{d}{d x} (a ln (2 x + b))

f (x) = (ln (x))^{3}

\frac{d y}{d x} - \frac{1}{x} y = e^{(\frac{y}{x})}

x \to π lim ((x - π) tan (\frac{x}{2}))

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