What is the tangent of f(x)=x^4-2x^2+1,\at x=-2 ?

The tangent of f(x)=x^4-2x^2+1,\at x=-2 is y=-24x-39

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tangent of f(x)=x^4-2x^2+1,\at x=-2

tangent

y = - 24 x - 39

Solution steps

Find the tangent point:

(- 2, 9)

Find the slope of

f (x) = x^{4} - 2 x^{2} + 1 : \frac{df ( x )}{d x} = 4 x^{3} - 4 x

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 = - 24

Find the line with slope m=

- 24

and passing through

(- 2, 9) : y = - 24 x - 39

y = - 24 x - 39

What is the tangent of f(x)=x^4-2x^2+1,\at x=-2 ?
The tangent of f(x)=x^4-2x^2+1,\at x=-2 is y=-24x-39