Derivative Of Sec 2x - How To Discuss
Derivative Of Sec 2x
Derived from the second 2 (x)?
2 * sec 2 (x) * corresponds to tan (x), but why is the 2 part missing? The derivative of sin der 2 (x) = 2sinxcosx, so I think the part will be lost in the derivative of 2 seconds 2 (x).
Coming from seconds.
Here you need to apply the principle of chain. The derivative of seconds (x) is seconds; 2 (x) * tan (x)
So the reason 2 does not disappear is that the second (x) is the securit (x), while the derivative of sin (x) is only cos (x).
Once the derivative is formed, the result is 2 second (x) factors:
(d / dx) sec 2 (x) = 2 * sec (x) * (d / dx) sec (x) = 2 * sec (x) * sec (x) * tan (x) = 2 * sec 2 (x) * chocolate (x),
Using reality (d / dx) seconds (x) = seconds (x) * tan (x).
To see (d / dx) sec (x) = sec (x) * tan (x), remember sec (x) = 1 / cos (x)
(d / dx) 1 / cos (x) = (d / dx) cos 1 (x) = 1 * cos 2 * (d / dx) cos (x) = 1 * cos 2 * 1 * sin ( x) =
sin (x) / cos 2 (x) = [sin (x) / cos (x)] * 1 / cos (x) = tan (x) * sec (x).
Derivative Of Sec 2x
Derivative Of Sec 2x
This is because the derivative of sex is sextanics.
u = detikx
du / dx = secxtanx
y = u 2.
dy / du = 2u = 2secx.
dy / dx = dy / du * du / dx =
2 seconds 2 (x) tanks.
Derivative Of Sec 2x
Derivative Of Sec 2x
Derivative of seconds 2 (x)? 3
2 * seconds equals 2 (x) * Tan (x), but why is the 2 part missing? The derivative of sin 2 (x) = 2sinxcosx, so I think the part will be lost in the derivative of sin 2 seconds 2 (x).
Here you need to apply the chain principle. The derivative of sec (x) is itself sec (x) * tan (x), so sec 2 (x) 2 * sec (x) * [sec (x) * tan (x)] = derivative of 2 sec 2 (x) * Tan (x)
So the reason 2 doesn't disappear is that the derivative of sec (x) has sec (x), while the derivative of sin (x) is only cos (x).
After being derived, the result is 2 second (x) factors:
(d / dx) sec 2 (x) = 2 * sec (x) * (d / dx) sec (x) = 2 * sec (x) * sec (x) * tan (x) = 2 * sec 2 (x) * chocolate (x),
Reality (d / dx) seconds (x) = seconds (x) * using tan (x)
To see (d / dx) seconds (x) = seconds (x) * tan (x), remember sec (x) = 1 / cos (x)
(d / dx) 1 / cos (x) = (d / dx) cos 1 (x) = 1 * cos 2 * (d / dx) cos (x) = 1 * cos 2 * 1 * sin ( x) =
sin (x) / cos 2 (x) = [sin (x) / cos (x)] * 1 / cos (x) = tan (x) * sec (x).
This is because the derivative of secx is secxtanx.