What is the tangent of f(x)=x^4,(2,16) ?

The tangent of f(x)=x^4,(2,16) is y=32x-48

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tangent of f(x)=x^4,(2,16)

tangent of

f (x) = x^{4}, (2, 16)

y = 32 x - 48

Solution steps

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 = 32

Find the line with slope m=

32

and passing through

(2, 16) : y = 32 x - 48

y = 32 x - 48

What is the tangent of f(x)=x^4,(2,16) ?
The tangent of f(x)=x^4,(2,16) is y=32x-48