What is the tangent of f(x)=7x-6sqrt(x),\at x=1 ?

The tangent of f(x)=7x-6sqrt(x),\at x=1 is y=4x-3

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tangent of f(x)=7x-6sqrt(x),\at x=1

tangent of

f (x) = 7 x - 6 x, at x = 1

y = 4 x - 3

Solution steps

Find the tangent point:

(1, 1)

Find the slope of

f (x) = 7 x - 6 x : \frac{df ( x )}{d x} = 7 - \frac{3}{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 = 4

Find the line with slope m=

4

and passing through

(1, 1) : y = 4 x - 3

y = 4 x - 3

What is the tangent of f(x)=7x-6sqrt(x),\at x=1 ?
The tangent of f(x)=7x-6sqrt(x),\at x=1 is y=4x-3