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}

Compute the slope of

y = (5 x - 4)^{4}

x = 2 : m = 4320

Find the line with slope m=

4320

and passing through

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

y = 4320 x - 7344

\int_{0}^{1} e^{- x} d x

\int 2 x x^{2} + 3 d x

\int 2 sin (d) x d x

\int \frac{1}{( 2 x - 1 ) ( x + 3 )} d x

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