What is the derivative of 8x^{1/2} ?

The derivative of 8x^{1/2} is 4/(x^{1/2)}

What is the first derivative of 8x^{1/2} ?

The first derivative of 8x^{1/2} is 4/(x^{1/2)}

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\frac{d}{d x} (8 x^{\frac{1}{2}})

\frac{4}{x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (8 x^{\frac{1}{2}})

Take the constant out:

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

= 8 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 8 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

8 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{4}{x ^{\frac{1}{2}}}

= \frac{4}{x ^{\frac{1}{2}}}

\frac{d}{d x} (15 e^{\frac{1}{x}})

x \to 0 + lim (x ln (tan (9 x)))

d y - (y - 2)^{2} d x = 0

\int_{- 2 π}^{π} cos^{2} (x) d x

x \to \infty lim ((1 + (\frac{2}{x}))^{3 x})

What is the derivative of 8x^{1/2} ?
The derivative of 8x^{1/2} is 4/(x^{1/2)}
What is the first derivative of 8x^{1/2} ?
The first derivative of 8x^{1/2} is 4/(x^{1/2)}