If y = (3x^2+ 7)^2 x (5x^2- 4)^3, find dy dx
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1
Answer:
dy
=
dx
d
[3x
2
]+
dx
d
[2x]
(Using the linearity property of differentiation)
dx
dy
=3
dx
d[x
2
]
+
dx
d[x]
(Separating the constant coefficients)
=3×2x
2−1
+2×1x
1−1
=6x+2
(Using
dx
d[x
n
]
=nx
n−1
).
Step-by-step explanation:
Dy - a trivalent metallic element of the rare earth group; forms compounds that are highly magnetic. atomic number 66, dysprosium. metal, metallic element - any of several chemical elements that are usually shiny solids that conduct heat or electricity and can be formed into sheets etc.
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