What is the tangent of f(x)= 4/(sqrt(x)),(4,2) ?

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

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tangent of f(x)= 4/(sqrt(x)),(4,2)

tangent of

f (x) = \frac{4}{x}, (4, 2)

y = - \frac{1}{4} x + 3

Solution steps

Find the slope of

f (x) = \frac{4}{x} : \frac{df ( x )}{d x} = - \frac{2}{x ^{\frac{3}{2}}}

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 + 3

y = - \frac{1}{4} x + 3

4 e^{4 x}

6 x + 5

\int_{0}^{\frac{π}{6}} cos (9 x) d x

\int \frac{cos ( \frac{π}{x ^{11}} )}{x ^{12}} d x

\int r^{3} 1 - r^{2} d r

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