What is the tangent of f(x)=ln(6-x^2+2x^4),\at x=1 ?

The tangent of f(x)=ln(6-x^2+2x^4),\at x=1 is y= 6/7 x+ln(7)-6/7

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tangent of f(x)=ln(6-x^2+2x^4),\at x=1

tangent of

f (x) = ln (6 - x^{2} + 2 x^{4}), at x = 1

y = \frac{6}{7} x + ln (7) - \frac{6}{7}

Solution steps

Find the tangent point:

(1, ln (7))

Find the slope of

f (x) = ln (6 - x^{2} + 2 x^{4}) : \frac{df ( x )}{d x} = \frac{8 x ^{3} - 2 x}{6 - x ^{2} + 2 x ^{4}}

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 = \frac{6}{7}

Find the line with slope m=

\frac{6}{7}

and passing through

(1, ln (7)) : y = \frac{6}{7} x + ln (7) - \frac{6}{7}

y = \frac{6}{7} x + ln (7) - \frac{6}{7}

What is the tangent of f(x)=ln(6-x^2+2x^4),\at x=1 ?
The tangent of f(x)=ln(6-x^2+2x^4),\at x=1 is y= 6/7 x+ln(7)-6/7