What is the tangent of f(x)=(7x)/(x+7),(3,2.1) ?

The tangent of f(x)=(7x)/(x+7),(3,2.1) is y= 49/100 x+0.63

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tangent of f(x)=(7x)/(x+7),(3,2.1)

tangent of

f (x) = \frac{7 x}{x + 7}, (3, 2.1)

y = \frac{49}{100} x + 0.63

Solution steps

Find the slope of

f (x) = \frac{7 x}{x + 7} : \frac{df ( x )}{d x} = \frac{49}{( x + 7 ) ^{2}}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = \frac{49}{100}

Find the line with slope m=

\frac{49}{100}

and passing through

(3, 2.1) : y = \frac{49}{100} x + 0.63

y = \frac{49}{100} x + 0.63

n = 1 \sum \infty (\frac{1}{3})^{n - 1}

\int x 144 - x^{2} d x

\int 3 x e - 2 x d x

\int \frac{y ^{2} - 2 y + 4}{y ( y - 2 ) ^{2}} d y

y^{^{''''}} - y^{^{''}} = 4 x + 2 x e^{- x}

What is the tangent of f(x)=(7x)/(x+7),(3,2.1) ?
The tangent of f(x)=(7x)/(x+7),(3,2.1) is y= 49/100 x+0.63