What is the tangent of f(x)=(7x)/(x+4),(3,3) ?

The tangent of f(x)=(7x)/(x+4),(3,3) is y= 4/7 x+9/7

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tangent of f(x)=(7x)/(x+4),(3,3)

tangent of

f (x) = \frac{7 x}{x + 4}, (3, 3)

y = \frac{4}{7} x + \frac{9}{7}

Solution steps

Find the slope of

f (x) = \frac{7 x}{x + 4} : \frac{df ( x )}{d x} = \frac{28}{( x + 4 ) ^{2}}

Compute the slope of

f (x) = \frac{7 x}{x + 4}

(3, 3) : m = \frac{4}{7}

Find the line with slope m=

\frac{4}{7}

and passing through

(3, 3) : y = \frac{4}{7} x + \frac{9}{7}

y = \frac{4}{7} x + \frac{9}{7}

\int 7 x^{11} e^{- x^{6}} d x

\frac{\partial}{\partial x} (x y + yz)

x \to 0 lim (\frac{x - y}{x + y})

f (x) = \frac{x ^{2}}{9 + 4 x}

What is the tangent of f(x)=(7x)/(x+4),(3,3) ?
The tangent of f(x)=(7x)/(x+4),(3,3) is y= 4/7 x+9/7