What is the tangent of f(x)=sqrt(4x+65),(4,9) ?

The tangent of f(x)=sqrt(4x+65),(4,9) is y= 2/9 x+73/9

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tangent of f(x)=sqrt(4x+65),(4,9)

tangent of

f (x) = 4 x + 65, (4, 9)

y = \frac{2}{9} x + \frac{73}{9}

Solution steps

Find the slope of

f (x) = 4 x + 65 : \frac{df ( x )}{d x} = \frac{2}{4 x + 65}

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{2}{9}

Find the line with slope m=

\frac{2}{9}

and passing through

(4, 9) : y = \frac{2}{9} x + \frac{73}{9}

y = \frac{2}{9} x + \frac{73}{9}

What is the tangent of f(x)=sqrt(4x+65),(4,9) ?
The tangent of f(x)=sqrt(4x+65),(4,9) is y= 2/9 x+73/9