What is the tangent of f(x)=(8x)/(x+7),(2,1.7777700000000…) ?

The tangent of f(x)=(8x)/(x+7),(2,1.7777700000000…) is y= 56/81 x+0.39505…

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tangent of f(x)=(8x)/(x+7),(2,1.7777700000000…)

tangent of

f (x) = \frac{8 x}{x + 7}, (2, 1.7777700000000 \dots)

y = \frac{56}{81} x + 0.39505 \dots

Solution steps

Find the slope of

f (x) = \frac{8 x}{x + 7} : \frac{df ( x )}{d x} = \frac{56}{( 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{56}{81}

Find the line with slope m=

\frac{56}{81}

and passing through

(2, 1.77777 \dots) : y = \frac{56}{81} x + 0.39505 \dots

y = \frac{56}{81} x + 0.39505 \dots

What is the tangent of f(x)=(8x)/(x+7),(2,1.7777700000000…) ?
The tangent of f(x)=(8x)/(x+7),(2,1.7777700000000…) is y= 56/81 x+0.39505…