What is the tangent of (5x-4)^4,\at x=2 ?

The tangent of (5x-4)^4,\at x=2 is y=4320x-7344

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tangent of (5x-4)^4,\at x=2

tangent of

(5 x - 4)^{4}, at x = 2

y = 4320 x - 7344

Solution steps

Find the tangent point:

(2, 1296)

Find the slope of

y = (5 x - 4)^{4} : \frac{d y}{d x} = 20 (5 x - 4)^{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 = 4320

Find the line with slope m=

4320

and passing through

(2, 1296) : y = 4320 x - 7344

y = 4320 x - 7344

What is the tangent of (5x-4)^4,\at x=2 ?
The tangent of (5x-4)^4,\at x=2 is y=4320x-7344