What is the tangent of y=sqrt(x),\at x=4 ?

The tangent of y=sqrt(x),\at x=4 is y= 1/4 x+1

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tangent of y=sqrt(x),\at x=4

tangent of

y = x, at x = 4

y = \frac{1}{4} x + 1

Solution steps

Find the tangent point:

(4, 2)

Find the slope of

y = x : \frac{d y}{d x} = \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{1}{4}

Find the line with slope m=

\frac{1}{4}

and passing through

(4, 2) : y = \frac{1}{4} x + 1

y = \frac{1}{4} x + 1

What is the tangent of y=sqrt(x),\at x=4 ?
The tangent of y=sqrt(x),\at x=4 is y= 1/4 x+1