What is the tangent of y=(5x)/(x+4),(1,1) ?

The tangent of y=(5x)/(x+4),(1,1) is y= 4/5 x+1/5

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tangent of y=(5x)/(x+4),(1,1)

tangent of

y = \frac{5 x}{x + 4}, (1, 1)

y = \frac{4}{5} x + \frac{1}{5}

Solution steps

Find the slope of

y = \frac{5 x}{x + 4} : \frac{d y}{d x} = \frac{20}{( x + 4 ) ^{2}}

Compute the slope of

y = \frac{5 x}{x + 4}

(1, 1) : m = \frac{4}{5}

Find the line with slope m=

\frac{4}{5}

and passing through

(1, 1) : y = \frac{4}{5} x + \frac{1}{5}

y = \frac{4}{5} x + \frac{1}{5}

\int \frac{cos ( x )}{sin ( 2 x )} d x

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

(2 x^{2} y + 2 1 + x^{4} y^{2}) d x + x^{3} d y = 0

\frac{d}{d x} ((4 x + 3)^{4} (x + 1)^{- 3})

\frac{d q}{d t} + \frac{1}{5 \cdot 1 0 ^{- 9}} q = \frac{200}{1000}

What is the tangent of y=(5x)/(x+4),(1,1) ?
The tangent of y=(5x)/(x+4),(1,1) is y= 4/5 x+1/5