Chapter12: Sequences, Series And Binomial Theorem
Section12.4: Binomial Theorem
Problem 12.78TI: Find the coefficient of the x4 term of (x+2)7.
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![25.
dy
dx
y = 3x(2x + 1)³
3x(3)(2x + 1)²(2) + (2x + 1)³(3)
= (18x)(2x + 1)² + 3(2x + 1)3³
= 3(2x + 1)²[6x + (2x + 1)]
= 3(2x + 1)²(8x + 1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41a94607-ae05-49d2-a989-bd66a70c4a42%2F3c96151d-c2eb-4cf0-9976-afcb3d9290e5%2Frn0zciq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:25.
dy
dx
y = 3x(2x + 1)³
3x(3)(2x + 1)²(2) + (2x + 1)³(3)
= (18x)(2x + 1)² + 3(2x + 1)3³
= 3(2x + 1)²[6x + (2x + 1)]
= 3(2x + 1)²(8x + 1)
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