If y= 6x^3+2x¯^2-x¯³, find dy/dx.

If y= 6x^3+2x¯^2-x¯³, find dy/dx.
A. dy/dx = 15x^2-4x¯²-3x¯²
B. dy/dx = 6x+4x¯^1-3x¯⁴
C. dy/dx = 18x^2-4x¯³+3x¯⁴
D. dy/dx = 12x^2+4x¯^1-3x¯²

Correct Option: Answer is C

Solution:
y=〖6x〗^3 + 〖2x〗^(-2)- x^(-3)
dy/dx =〖18x〗^2 + 〖4x〗^(-3)- 3x^(-4)

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