Question

Differentiate x^2 tan x.

Answer 1

Solution :
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d/dx ( x² tan x)

= { x².d/dx (tanx) + tanx.d/dx (x²) }

= ( x²sec²x + 2x tan x ).

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MANISHNAVIK1

Answer 2

y = x²tanx
we know , when a , function is product of two functions f(x) and g(x)
y = f(x).g(x)
then, dy/dx = g(x).df(x)/dx + f(x).dg(x)/dx
use this concept here,

y = x²tanx
dy/dx = x².d(tanx)/dx + tanx.d(x²)/dx
= x²sec²x + 2x .tanx