CALCULATIONS
𝑑
𝑑𝑥
(3𝑥 3 + 4𝑥 2 − 7𝑥 + 9)
(𝑓 ± 𝑔)′ = 𝑓′ ± 𝑔′
𝑑 𝑑 𝑑 𝑑
(3𝑥 3 ) + (4𝑥 2 ) − (7𝑥) + (9)
𝑑𝑥 𝑑𝑥 𝑑𝑥 𝑑𝑥
𝑑
(3𝑥 2 ) = 9𝑥 2
𝑑𝑥
𝑑
(4𝑥 2 ) = 8𝑥
𝑑𝑥
𝑑
(7𝑥) =7
𝑑𝑥
𝑑
(9) =0
𝑑𝑥
9𝑥 2 + 8𝑥 − 7
𝐹𝑜𝑟 9𝑥 2 + 8𝑥 − 7 𝑠𝑢𝑏 𝑥 𝑤𝑖𝑡ℎ 9
= 9 × 92 + 8 × 9 − 7
= 9 × 92 + 8 × 9 − 7
= 794
𝑇𝐻𝐸 𝐴𝑁𝑆𝑊𝐸𝑅 𝐼𝑆 𝑂𝑃𝑇𝐼𝑂𝑁 𝐴
𝑑
𝑑𝑥
(3𝑥 3 + 4𝑥 2 − 7𝑥 + 9)
(𝑓 ± 𝑔)′ = 𝑓′ ± 𝑔′
𝑑 𝑑 𝑑 𝑑
(3𝑥 3 ) + (4𝑥 2 ) − (7𝑥) + (9)
𝑑𝑥 𝑑𝑥 𝑑𝑥 𝑑𝑥
𝑑
(3𝑥 2 ) = 9𝑥 2
𝑑𝑥
𝑑
(4𝑥 2 ) = 8𝑥
𝑑𝑥
𝑑
(7𝑥) =7
𝑑𝑥
𝑑
(9) =0
𝑑𝑥
9𝑥 2 + 8𝑥 − 7
𝐹𝑜𝑟 9𝑥 2 + 8𝑥 − 7 𝑠𝑢𝑏 𝑥 𝑤𝑖𝑡ℎ 9
= 9 × 92 + 8 × 9 − 7
= 9 × 92 + 8 × 9 − 7
= 794
𝑇𝐻𝐸 𝐴𝑁𝑆𝑊𝐸𝑅 𝐼𝑆 𝑂𝑃𝑇𝐼𝑂𝑁 𝐴
