What is the tangent of f(x)=sqrt(x+5),\at x=-4 ?

The tangent of f(x)=sqrt(x+5),\at x=-4 is y= 1/2 x+3

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tangent of f(x)=sqrt(x+5),\at x=-4

tangent of

f (x) = x + 5, at x = - 4

y = \frac{1}{2} x + 3

Solution steps

Find the tangent point:

(- 4, 1)

Find the slope of

f (x) = x + 5 : \frac{df ( x )}{d x} = \frac{1}{2 x + 5}

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}{2}

Find the line with slope m=

\frac{1}{2}

and passing through

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

y = \frac{1}{2} x + 3

What is the tangent of f(x)=sqrt(x+5),\at x=-4 ?
The tangent of f(x)=sqrt(x+5),\at x=-4 is y= 1/2 x+3