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

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

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

tangent of

f (x) = 4 x, at x = 4

y = x + 4

Solution steps

Find the tangent point:

(4, 8)

Find the slope of

f (x) = 4 x : \frac{df ( x )}{d x} = \frac{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 = 1

Find the line with slope m=

1

and passing through

(4, 8) : y = x + 4

y = x + 4

\int - \frac{cos ( x )}{sin ( x )} d x

\int cos (πn t) d t

n = 1 \sum \infty (\frac{π}{6})^{n}

y^{^{''}} - y^{^{'}} + \frac{1}{4} y = 7 + e^{\frac{x}{2}}

\int t (t^{6} + t - 5) d t

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