1) y' = 12x^3 + 9x^2 + 1
2) y' = -1/x^2 + ln(3) × 3^x
3) y' = 3x^2 × tgx + x^3/cos^2 (x)
4) y' = (2x × cosx + x^2 × sinx)/cos^2 (x)
5) y' = 7 (3x^6 + 1)' (3x^6 + 1)^6 = 7 × 18x^5 × (3x^6 + 1)^6 = 126x^5 (3x^6 + 1)^6
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Answers & Comments
1) y' = 12x^3 + 9x^2 + 1
2) y' = -1/x^2 + ln(3) × 3^x
3) y' = 3x^2 × tgx + x^3/cos^2 (x)
4) y' = (2x × cosx + x^2 × sinx)/cos^2 (x)
5) y' = 7 (3x^6 + 1)' (3x^6 + 1)^6 = 7 × 18x^5 × (3x^6 + 1)^6 = 126x^5 (3x^6 + 1)^6