What is the tangent of f(x)=7x-sqrt(x),(4,26) ?

The tangent of f(x)=7x-sqrt(x),(4,26) is y= 27/4 x-1

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tangent of f(x)=7x-sqrt(x),(4,26)

tangent of

f (x) = 7 x - x, (4, 26)

y = \frac{27}{4} x - 1

Solution steps

Find the slope of

f (x) = 7 x - x : \frac{df ( x )}{d x} = 7 - \frac{1}{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 = \frac{27}{4}

Find the line with slope m=

\frac{27}{4}

and passing through

(4, 26) : y = \frac{27}{4} x - 1

y = \frac{27}{4} x - 1

What is the tangent of f(x)=7x-sqrt(x),(4,26) ?
The tangent of f(x)=7x-sqrt(x),(4,26) is y= 27/4 x-1