What is the tangent of f(x)= 1/(sqrt(x)),\at x= 1/4 ?

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

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tangent of f(x)= 1/(sqrt(x)),\at x= 1/4

tangent of

f (x) = \frac{1}{x}, at x = \frac{1}{4}

y = - 4 x + 3

Solution steps

Find the tangent point:

(\frac{1}{4}, 2)

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 = - 4

Find the line with slope m=

- 4

and passing through

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

y = - 4 x + 3

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