What is the tangent of x^4,\at x=3 ?

The tangent of x^4,\at x=3 is y=108x-243

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tangent of x^4,\at x=3

tangent of

x^{4}, at x = 3

y = 108 x - 243

Solution steps

Find the tangent point:

(3, 81)

Find the slope of

y = x^{4} : \frac{d y}{d x} = 4 x^{3}

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 = 108

Find the line with slope m=

108

and passing through

(3, 81) : y = 108 x - 243

y = 108 x - 243

\frac{d}{d x} (\frac{16}{( 1 + 2 x ) ^{3}})

arctan (cos (3 x))

\int \frac{x - 1}{x ^{3}} d x

f (y) = 2 e^{y}

x \to - 4 lim (\frac{\frac{4}{x} + 1}{x + 4})