derivative

[gentle knot]

d/dx(1/2cot2x.sin2x)

[acoustic onyx]

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[pine stratus]

what is cot(2x)

using trig identities

[gentle knot]

Idk it

[pine stratus]

ok how is cotangent defined

[gentle knot]

Cos/sin, right?

So cos2x/sin2x ×sin2x

It'll equal cos2x?

So 1/2cos2x

Right?

@pine stratus

[pine stratus]

right

[gentle knot]

Thanks

[pine stratus]

should point out that this is undefined anywhere sin(2x) is 0

so its technically not equal to cos(2x) but it is if sin(2x) != 0

[gentle knot]

Oh thanks very much

[gentle knot]

The derivative of cos2x equals -2sin right?

[pine stratus]

-2sin...?

[gentle knot]

-2sinx?

Or -2sin2x?

[pine stratus]

nope

[pine stratus]

yes

[gentle knot]

Thanks!!

[pine stratus]

that's chain rule

g(x) stays inside the f'()