What is the derivative of 5x^{1/2} ?

The derivative of 5x^{1/2} is 5/(2x^{1/2)}

What is the first derivative of 5x^{1/2} ?

The first derivative of 5x^{1/2} is 5/(2x^{1/2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

\frac{5}{2 x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (5 x^{\frac{1}{2}})

Take the constant out:

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

= 5 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 5 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

5 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{5}{2 x ^{\frac{1}{2}}}

= \frac{5}{2 x ^{\frac{1}{2}}}

2 t y^{^{'}} - 4 y = 4 t^{4} e^{t^{2}}, y (1) = 0

\frac{d}{d x} (- \frac{6}{( 1 + x ) ^{4}})

\int \frac{1}{1 + 5 x ^{2}} d x

\int 4 sin^{3} (x co) s^{2} x d x

y = x + 225, (0, 15)

What is the derivative of 5x^{1/2} ?
The derivative of 5x^{1/2} is 5/(2x^{1/2)}
What is the first derivative of 5x^{1/2} ?
The first derivative of 5x^{1/2} is 5/(2x^{1/2)}