What is the tangent of f(x)=3x-2sqrt(x),(1,1) ?

The tangent of f(x)=3x-2sqrt(x),(1,1) is y=2x-1

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tangent of f(x)=3x-2sqrt(x),(1,1)

tangent of

f (x) = 3 x - 2 x, (1, 1)

y = 2 x - 1

Solution steps

Find the slope of

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

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 = 2

Find the line with slope m=

2

and passing through

(1, 1) : y = 2 x - 1

y = 2 x - 1

What is the tangent of f(x)=3x-2sqrt(x),(1,1) ?
The tangent of f(x)=3x-2sqrt(x),(1,1) is y=2x-1