What is the tangent of f(x)= 1/x ,\at x=0.204 ?

The tangent of f(x)= 1/x ,\at x=0.204 is y=-24.02921…x+9.80392…

tangent of f(x)= 1/x ,\at x=0.204

tangent of

f (x) = \frac{1}{x}, at x = 0.204

y = - 24.02921 \dots x + 9.80392 \dots

Solution steps

Find the tangent point:

(0.204, \frac{1}{0.204})

Find the slope of

f (x) = \frac{1}{x} : \frac{df ( x )}{d x} = - \frac{1}{x ^{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 = - 24.02921 \dots

Find the line with slope m=

- 24.02921 \dots

and passing through

(0.204, \frac{1}{0.204}) : y = - 24.02921 \dots x + 9.80392 \dots

y = - 24.02921 \dots x + 9.80392 \dots

\int \frac{u ^{2} - 1}{u ^{2} + 1} d u

t an g e n t f (x) = 5 e^{x}, at x = 3

\frac{d}{d x} (\frac{x ^{3}}{( x + 2 ) ^{2}})

\int 36 (4 x + 4)^{(2)} - 2 (3 x - 1) d x

\int cos^{- 1} (x) d x

What is the tangent of f(x)= 1/x ,\at x=0.204 ?
The tangent of f(x)= 1/x ,\at x=0.204 is y=-24.02921…x+9.80392…