What is the tangent of f(x)=(9x)/((x+1)^2),(0,0) ?

The tangent of f(x)=(9x)/((x+1)^2),(0,0) is y=9x

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tangent of f(x)=(9x)/((x+1)^2),(0,0)

tangent of

f (x) = \frac{9 x}{( x + 1 ) ^{2}}, (0, 0)

y = 9 x

Solution steps

Find the slope of

f (x) = \frac{9 x}{( x + 1 ) ^{2}} : \frac{df ( x )}{d x} = \frac{9 ( 1 - x )}{( x + 1 ) ^{3}}

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 = 9

Find the line with slope m=

9

and passing through

(0, 0) : y = 9 x

y = 9 x

What is the tangent of f(x)=(9x)/((x+1)^2),(0,0) ?
The tangent of f(x)=(9x)/((x+1)^2),(0,0) is y=9x