1) y = 63
y' = (63)' = 0
2) y = x
y' = (x)' = 1
3) y = 12x
y' = 12 * (x)' = 12
4) y = x⁴
y' = (x⁴)' = 4x⁴⁻¹ = 4x³
5) y = 5x⁵ + 11
y' = 5(x⁵)' + 11' = 5 * 5x⁴ + 0 = 25x⁴
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Verified answer
1) y = 63
y' = (63)' = 0
2) y = x
y' = (x)' = 1
3) y = 12x
y' = 12 * (x)' = 12
4) y = x⁴
y' = (x⁴)' = 4x⁴⁻¹ = 4x³
5) y = 5x⁵ + 11
y' = 5(x⁵)' + 11' = 5 * 5x⁴ + 0 = 25x⁴