Question Detail
Question
Evaluate d/dx[(1+x²)(4-3x⁴)³] at x=1
Correct Answer
Option C is the correct answer.
Detailed Explanation
By the product rule: d/dx = 2x(4-3x⁴)³ + (1+x²)·3(4-3x⁴)²(-12x³). At x=1: 2(1)³+2·3(1)²(-12) = 2-72 = -70.
Hint
Apply the product rule, then substitute x=1 into each piece separately before combining.