What is the tangent of f(x)=(11x-1)^{-1/5},\at x=3 ?

The tangent of f(x)=(11x-1)^{-1/5},\at x=3 is y=-11/320 x+193/320

Popular >

tangent of f(x)=(11x-1)^{-1/5},\at x=3

tangent of

f (x) = (11 x - 1)^{- \frac{1}{5}}, at x = 3

y = - \frac{11}{320} x + \frac{193}{320}

Solution steps

Find the tangent point:

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

Find the slope of

f (x) = (11 x - 1)^{- \frac{1}{5}} : \frac{df ( x )}{d x} = - \frac{11}{5 ( 11 x - 1 ) ^{\frac{6}{5}}}

Compute the slope of

f (x) = (11 x - 1)^{- \frac{1}{5}}

x = 3 : m = - \frac{11}{320}

Find the line with slope m=

- \frac{11}{320}

and passing through

(3, \frac{1}{2}) : y = - \frac{11}{320} x + \frac{193}{320}

y = - \frac{11}{320} x + \frac{193}{320}

\frac{\partial}{\partial x} (\frac{- y}{x ^{2} + y ^{2}})

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

x^{- 9 c o s (x)}

\frac{d}{d x} (lo g_{e} (5 x))

What is the tangent of f(x)=(11x-1)^{-1/5},\at x=3 ?
The tangent of f(x)=(11x-1)^{-1/5},\at x=3 is y=-11/320 x+193/320