Find the derivatives of the given functions. g(x)=(\sin x)(\tan x)

pedzenekO

pedzenekO

Answered question

2021-06-20

Find the derivatives of the given functions. g(x)=(sinx)(tanx)

Answer & Explanation

svartmaleJ

svartmaleJ

Skilled2021-06-21Added 92 answers

g(x)=(sinx)(tanx)
g(x)=ddx((sinx)(tanx))
=sinx{˙ddx(tanx)+tanx{˙ddx(sinx)
=sinx{˙sec2x+tanx{˙cosx
=sinx{˙sec2x+sinxcosxcosx˙
=sinx{˙sec2x+sinx
=sinx(1+sec2x

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