What is the tangent of 3x^4-7x^2,\at x=-1 ?

The tangent of 3x^4-7x^2,\at x=-1 is y=2x-2

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tangent of 3x^4-7x^2,\at x=-1

tangent of

3 x^{4} - 7 x^{2}, at x = - 1

y = 2 x - 2

Solution steps

Find the tangent point:

(- 1, - 4)

Find the slope of

y = 3 x^{4} - 7 x^{2} : \frac{d y}{d x} = 12 x^{3} - 14 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 = 2

Find the line with slope m=

2

and passing through

(- 1, - 4) : y = 2 x - 2

y = 2 x - 2

What is the tangent of 3x^4-7x^2,\at x=-1 ?
The tangent of 3x^4-7x^2,\at x=-1 is y=2x-2