What is the tangent of 2sqrt(x)+1,\at x= 1/4 ?

The tangent of 2sqrt(x)+1,\at x= 1/4 is y=2x+3/2

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tangent of 2sqrt(x)+1,\at x= 1/4

tangent of

2 x + 1, at x = \frac{1}{4}

y = 2 x + \frac{3}{2}

Solution steps

Find the tangent point:

(\frac{1}{4}, 2)

Find the slope of

y = 2 x + 1 : \frac{d y}{d x} = \frac{1}{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 = 2

Find the line with slope m=

2

and passing through

(\frac{1}{4}, 2) : y = 2 x + \frac{3}{2}

y = 2 x + \frac{3}{2}

What is the tangent of 2sqrt(x)+1,\at x= 1/4 ?
The tangent of 2sqrt(x)+1,\at x= 1/4 is y=2x+3/2