en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(3x^2-5x)

Solution

\frac{d}{d x} (3 x^{2} - 5 x)

Solution

\frac{6 x - 5}{2 3 x ^{2} - 5 x}

Solution steps

\frac{d}{d x} (3 x^{2} - 5 x)

Apply the chain rule:

\frac{1}{2 3 x ^{2} - 5 x} \frac{d}{d x} (3 x^{2} - 5 x)

= \frac{1}{2 3 x ^{2} - 5 x} \frac{d}{d x} (3 x^{2} - 5 x)

\frac{d}{d x} (3 x^{2} - 5 x) = 6 x - 5

= \frac{1}{2 3 x ^{2} - 5 x} (6 x - 5)

Simplify

\frac{1}{2 3 x ^{2} - 5 x} (6 x - 5) : \frac{6 x - 5}{2 3 x ^{2} - 5 x}

= \frac{6 x - 5}{2 3 x ^{2} - 5 x}

Popular Examples

limit as x approaches 1+of (x-2)^2

x \to 1 + lim ((x - 2)^{2})

y^{''}+9y=30sin(3t)

y^{^{''}} + 9 y = 30 sin (3 t)

2*x*y^2+2*x+(x^2*y+4*y)*y^'=0

2 \cdot x \cdot y^{2} + 2 \cdot x + (x^{2} \cdot y + 4 \cdot y) \cdot y^{^{'}} = 0

\frac{d}{d y} (x^{2} + x y)

derivative of 7x^6e^x+e^xx^7 derivative of

7 x^{6} e^{x} + e^{x} x^{7}

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(3x^2-5x) ?
The derivative of sqrt(3x^2-5x) is (6x-5)/(2sqrt(3x^2-5x))
What is the first derivative of sqrt(3x^2-5x) ?
The first derivative of sqrt(3x^2-5x) is (6x-5)/(2sqrt(3x^2-5x))