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

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

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

tangent of

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

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

Solution steps

Find the tangent point:

(3, 3)

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}

x = 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 sin^{3} (3 x) cos^{2} (3 x) d x

f (x) = \frac{6 x}{x + 3}, (- 1, - 3)

\int e^{x} sin (3 x) d x

\frac{\partial}{\partial z} (x^{2} z^{2} sin (4 y))

\frac{\partial}{\partial x} (sin (\frac{2 x}{y}))

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