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narrysto
@narrysto
July 2022
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Найдите производную
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mikael2
Verified answer
40x(4x²+3)⁴+5 y'=(uv)'=u'v+v'u=4(4x²+3)⁴+40x*4(4x²+3)³*8x
--
36x²(6x³+5)+4 y'=72x(6x³+5)+36x²*18x²
----
......
30(2+10x)²+5x⁴ y'=60(2+10x)*10+20x³
--------------------------
2cos2x+6 y'=-2sin2x*2=-4sin2x
+3sin3x+2x y'=3*3cos3x+2
-------
sin2x+3x y'=2cos2x+3
---------------------
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Answers & Comments
Verified answer
40x(4x²+3)⁴+5 y'=(uv)'=u'v+v'u=4(4x²+3)⁴+40x*4(4x²+3)³*8x--
36x²(6x³+5)+4 y'=72x(6x³+5)+36x²*18x²
----
......
30(2+10x)²+5x⁴ y'=60(2+10x)*10+20x³
--------------------------
2cos2x+6 y'=-2sin2x*2=-4sin2x
+3sin3x+2x y'=3*3cos3x+2
-------
sin2x+3x y'=2cos2x+3
---------------------