What is the tangent of f(x)= x/((3x-8)^6),\at x=3 ?

The tangent of f(x)= x/((3x-8)^6),\at x=3 is y=-53x+162

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tangent of f(x)= x/((3x-8)^6),\at x=3

tangent of

f (x) = \frac{x}{( 3 x - 8 ) ^{6}}, at x = 3

y = - 53 x + 162

Solution steps

Find the tangent point:

(3, 3)

Find the slope of

f (x) = \frac{x}{( 3 x - 8 ) ^{6}} : \frac{df ( x )}{d x} = \frac{- 8 - 15 x}{( 3 x - 8 ) ^{7}}

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 = - 53

Find the line with slope m=

- 53

and passing through

(3, 3) : y = - 53 x + 162

y = - 53 x + 162

\frac{d}{d x} ((5 - 2 x)^{5})

f (t) = t + 4

x \to 0 + lim (\frac{x ^{2}}{6} - \frac{5}{x})

\frac{\partial}{\partial x} (\frac{1}{x ^{3}})

\frac{d}{d x} (5^{c o s (x)})

What is the tangent of f(x)= x/((3x-8)^6),\at x=3 ?
The tangent of f(x)= x/((3x-8)^6),\at x=3 is y=-53x+162