What is the derivative of (x^2-35)/(x-6) ?

The derivative of (x^2-35)/(x-6) is (x^2-12x+35)/((x-6)^2)

What is the first derivative of (x^2-35)/(x-6) ?

The first derivative of (x^2-35)/(x-6) is (x^2-12x+35)/((x-6)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{x ^{2} - 35}{x - 6}

\frac{x ^{2} - 12 x + 35}{( x - 6 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x ^{2} - 35}{x - 6})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( x ^{2} - 35 ) ( x - 6 ) - \frac{d}{d x} ( x - 6 ) ( x ^{2} - 35 )}{( x - 6 ) ^{2}}

\frac{d}{d x} (x^{2} - 35) = 2 x

\frac{d}{d x} (x - 6) = 1

= \frac{2 x ( x - 6 ) - 1 \cdot ( x ^{2} - 35 )}{( x - 6 ) ^{2}}

Simplify

\frac{2 x ( x - 6 ) - 1 \cdot ( x ^{2} - 35 )}{( x - 6 ) ^{2}} : \frac{x ^{2} - 12 x + 35}{( x - 6 ) ^{2}}

= \frac{x ^{2} - 12 x + 35}{( x - 6 ) ^{2}}

- 16 sin (2 x)

\int sec (1 - x) tan (1 - x) d x

\int (- \frac{4}{x ^{3}} - \frac{8}{x ^{5}}) d x

\int \frac{x}{x + x ^{\frac{4}{5}}} d x

\int_{3}^{6} 8 d x

What is the derivative of (x^2-35)/(x-6) ?
The derivative of (x^2-35)/(x-6) is (x^2-12x+35)/((x-6)^2)
What is the first derivative of (x^2-35)/(x-6) ?
The first derivative of (x^2-35)/(x-6) is (x^2-12x+35)/((x-6)^2)