Find the derivatives of the given functions. s(x)=\frac{\tan x}{x^{2}-1}

Lennie Carroll

Lennie Carroll

Answered question

2021-06-04

Find the derivatives of the given functions.
s(x)=tanxx21

Answer & Explanation

Tuthornt

Tuthornt

Skilled2021-06-05Added 107 answers

s(x)=tanxx21
s(x)=tanx(x21)1
1x21 as (x21)1
s(x)=tanxddx((x21)1)+(x21)1ddx(tanx)=tanx(1)(x21)11ddx(x21)+(x21)1sec2x=tanx(x21)22x+sec2x(x21)=2xtanx(x21)2+sec2xx21
Product rule u=(x21)1
u=x21

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