What is the tangent of sqrt(3x+4),\at x=4 ?

The tangent of sqrt(3x+4),\at x=4 is y= 3/8 x+5/2

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tangent of sqrt(3x+4),\at x=4

tangent of

3 x + 4, at x = 4

y = \frac{3}{8} x + \frac{5}{2}

Solution steps

Find the tangent point:

(4, 4)

Find the slope of

y = 3 x + 4 : \frac{d y}{d x} = \frac{3}{2 3 x + 4}

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{3}{8}

Find the line with slope m=

\frac{3}{8}

and passing through

(4, 4) : y = \frac{3}{8} x + \frac{5}{2}

y = \frac{3}{8} x + \frac{5}{2}

What is the tangent of sqrt(3x+4),\at x=4 ?
The tangent of sqrt(3x+4),\at x=4 is y= 3/8 x+5/2