Determine the first derivative (dydx)of y=tan⁡(3x2)

sodni3

sodni3

Answered question

2021-02-08

Determine the first derivative (dydx)of y=tan(3x2)

Answer & Explanation

Dora

Dora

Skilled2021-02-09Added 98 answers

Determine the first derivative (dy/dx)of y=tan(3x2)
Let u=3x2, then
y=tan(u)
And, dydx=(dydu)(dudx) 
Taking y=tan(u), then dydu=sec2(u)
Taking u=3x2, then dudx=6x
So, dydx=(dydu)(dudx) 
dydx=(sec2(u))(6x)
dydx=6xsec2(3x2)

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