What is the tangent of f(x)=x^4,\at x=4 ?

The tangent of f(x)=x^4,\at x=4 is y=256x-768

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tangent of f(x)=x^4,\at x=4

tangent of

f (x) = x^{4}, at x = 4

y = 256 x - 768

Solution steps

Find the tangent point:

(4, 256)

Find the slope of

f (x) = x^{4} : \frac{df ( x )}{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 = 256

Find the line with slope m=

256

and passing through

(4, 256) : y = 256 x - 768

y = 256 x - 768

x \to \infty lim (\frac{ln ( x ) + x}{x n x})

f (x) = \frac{3 x ^{2} + 1}{x ^{\frac{3}{2}}}

\int e^{i 8 x} cos (4 x) d x

f (x) = \frac{x ^{2} - 5 x}{x + 1}

\int 3 x^{2} x^{3} - 5 d x

What is the tangent of f(x)=x^4,\at x=4 ?
The tangent of f(x)=x^4,\at x=4 is y=256x-768