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

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

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

tangent of

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

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

Solution steps

Find the slope of

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

Compute the slope of

f (x) = \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}

\frac{d}{d x} (\frac{b}{x ^{2}})

x \to 2 lim (\frac{( 3 x + 2 )}{5 x - 2})^{\frac{( 3 )}{x - 2}}

\int (x - 2) 2 d x

x \to \infty lim (x^{6} e^{- x^{5}})

\int sinh (1 + 4 x) d x

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