en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3x+x^{1/2}

Solution

\frac{d}{d x} (3 x + x^{\frac{1}{2}})

Solution

3 + \frac{1}{2 x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (3 x + x^{\frac{1}{2}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (3 x) = 3

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

= 3 + \frac{1}{2 x ^{\frac{1}{2}}}

Popular Examples

tangent of y=(x-4)(x^2+8),(1,-27)tangent of

y = (x - 4) (x^{2} + 8), (1, - 27)

derivative of e^x-1+e^xx

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

(\partial)/(\partial x)(x^{0.2}y^{0.8})

\frac{\partial}{\partial x} (x^{0.2} y^{0.8})

integral of (4x+3)(2x^2+3)^3

\int (4 x + 3) (2 x^{2} + 3)^{3} d x

(\partial)/(\partial z)(x^2y^3z)

\frac{\partial}{\partial z} (x^{2} y^{3} z)

Frequently Asked Questions (FAQ)

What is the derivative of 3x+x^{1/2} ?
The derivative of 3x+x^{1/2} is 3+1/(2x^{1/2)}
What is the first derivative of 3x+x^{1/2} ?
The first derivative of 3x+x^{1/2} is 3+1/(2x^{1/2)}