What is the tangent of f(x)= 5/(sqrt(x)),\at x= 1/4 ?

The tangent of f(x)= 5/(sqrt(x)),\at x= 1/4 is y=-20x+15

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tangent of f(x)= 5/(sqrt(x)),\at x= 1/4

tangent of

f (x) = \frac{5}{x}, at x = \frac{1}{4}

y = - 20 x + 15

Solution steps

Find the tangent point:

(\frac{1}{4}, 10)

Find the slope of

f (x) = \frac{5}{x} : \frac{df ( x )}{d x} = - \frac{5}{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 = - 20

Find the line with slope m=

- 20

and passing through

(\frac{1}{4}, 10) : y = - 20 x + 15

y = - 20 x + 15

What is the tangent of f(x)= 5/(sqrt(x)),\at x= 1/4 ?
The tangent of f(x)= 5/(sqrt(x)),\at x= 1/4 is y=-20x+15