What is the tangent of f(x)=x^7,\at x=2 ?

The tangent of f(x)=x^7,\at x=2 is y=448x-768

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tangent of f(x)=x^7,\at x=2

tangent of

f (x) = x^{7}, at x = 2

y = 448 x - 768

Solution steps

Find the tangent point:

(2, 128)

Find the slope of

f (x) = x^{7} : \frac{df ( x )}{d x} = 7 x^{6}

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 = 448

Find the line with slope m=

448

and passing through

(2, 128) : y = 448 x - 768

y = 448 x - 768

What is the tangent of f(x)=x^7,\at x=2 ?
The tangent of f(x)=x^7,\at x=2 is y=448x-768