What is the tangent of f(x)= 1/(sqrt(x)),(1,1) ?

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

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tangent of f(x)= 1/(sqrt(x)),(1,1)

tangent of

f (x) = \frac{1}{x}, (1, 1)

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

Solution steps

Find the slope of

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

Find the line with slope m=

- \frac{1}{2}

and passing through

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

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

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