What is the tangent of 7x-6sqrt(x)(1.1) ?

The tangent of 7x-6sqrt(x)(1.1) is y=(7-(3.3)/(sqrt(a_{0))})x-3.3sqrt(a_{0)}

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tangent of 7x-6sqrt(x)(1.1)

tangent of

7 x - 6 x (1.1)

y = (7 - \frac{3.3}{a _{0}}) x - 3.3 a_{0}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 7 a_{0} - 6.6 a_{0})

Find the slope of

y = 7 x - 6 x 1.1 : \frac{d y}{d x} = 7 - \frac{3.3}{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 = 7 - \frac{3.3}{a _{0}}

Find the line with slope m=

7 - \frac{3.3}{a _{0}}

and passing through

(a_{0}, 7 a_{0} - 6.6 a_{0}) : y = (7 - \frac{3.3}{a _{0}}) x - 3.3 a_{0}

y = (7 - \frac{3.3}{a _{0}}) x - 3.3 a_{0}

What is the tangent of 7x-6sqrt(x)(1.1) ?
The tangent of 7x-6sqrt(x)(1.1) is y=(7-(3.3)/(sqrt(a_{0))})x-3.3sqrt(a_{0)}