What is the derivative of x^{0.5} ?

The derivative of x^{0.5} is (0.5)/(x^{0.5)}

What is the first derivative of x^{0.5} ?

The first derivative of x^{0.5} is (0.5)/(x^{0.5)}

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derivative of

x^{0.5}

\frac{0.5}{x ^{0.5}}

Solution steps

\frac{d}{d x} (x^{0.5})

Apply the Power Rule:

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

= 0.5 x^{0.5 - 1}

Simplify

0.5 x^{0.5 - 1} : \frac{0.5}{x ^{0.5}}

= \frac{0.5}{x ^{0.5}}

\frac{d}{d x} (x sin (π x))

\frac{d}{d x} (9 e^{x} (cos (x) - sin (x)))

x \to 0 lim ((1 + 6 x)^{\frac{7}{x}})

2 x - tan (x)

k = 1 \sum \infty \frac{1}{k + 6}

What is the derivative of x^{0.5} ?
The derivative of x^{0.5} is (0.5)/(x^{0.5)}
What is the first derivative of x^{0.5} ?
The first derivative of x^{0.5} is (0.5)/(x^{0.5)}