What is the slope of x^2+xy-y^2=3,(5,3) ?

The slope of x^2+xy-y^2=3,(5,3) is 13

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

slope of x^2+xy-y^2=3,(5,3)

slope

x^{2} + x y - y^{2} = 3, (5, 3)

13

Solution steps

x^{2} + x y - y^{2} = 3

Use implicit differentiation to find the slope of

x^{2} + x y - y^{2} = 3

Implicit Derivative

\frac{d y}{d x}

x^{2} + x y - y^{2} = 3 : \frac{- 2 x - y}{x - 2 y}

\frac{- 2 x - y}{x - 2 y}

Find the slope at

(5, 3) : 13

13

\frac{1}{s ^{2} - 6 s + 10}

f (x) = 2 cos (x^{3}) - \frac{2}{x}

\frac{d}{d x} (6 x^{5} y)

x^{3} + 1

f (p) = 325 - 3 p