What is the tangent of f(x)=7x-4sqrt(x),(1,3) ?

The tangent of f(x)=7x-4sqrt(x),(1,3) is y=5x-2

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tangent of f(x)=7x-4sqrt(x),(1,3)

tangent of

f (x) = 7 x - 4 x, (1, 3)

y = 5 x - 2

Solution steps

Find the slope of

f (x) = 7 x - 4 x : \frac{df ( x )}{d x} = 7 - \frac{2}{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 = 5

Find the line with slope m=

5

and passing through

(1, 3) : y = 5 x - 2

y = 5 x - 2

What is the tangent of f(x)=7x-4sqrt(x),(1,3) ?
The tangent of f(x)=7x-4sqrt(x),(1,3) is y=5x-2