find the derivative for y=x^4+3x^2+2x+1
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To differentiate :
y = x⁴ + 3x² + 2x + 1
Differentiate both side w.r.t x
=> dy/dx = d/ dx ( x⁴ +3x² + 2x + 1 )
=> dy/dx = 4x^(4-1) + 3 • 2 x^(2-1) + 2 x^(1-1) + 0
=> dy/dx = 4x³ + 6x + 2 .
Formula used :
• d/dx ( x^ n ) = nx^ (n-1)
• d/dx ( constant ) = 0 .
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