calculate the derivative of X⁴/2 + x³ + 5x² + 13 – 1/x
Using power rule:
2x^3 + 3x^2 + 10x + 1/x^2
note: 1/x = x^-1
x^4 /2+ x^3+5x^2+13-1/x
= 2x^3 + 3x^2 + 10x + 1/2x^(-2)
4x^3/2 +3x^2 +10x +0+1/x^2 =
2x^3 +3x^2 +10x +1/x^2.
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Verified answer
Using power rule:
2x^3 + 3x^2 + 10x + 1/x^2
note: 1/x = x^-1
x^4 /2+ x^3+5x^2+13-1/x
= 2x^3 + 3x^2 + 10x + 1/2x^(-2)
4x^3/2 +3x^2 +10x +0+1/x^2 =
2x^3 +3x^2 +10x +1/x^2.