given:
to find the derivative
Step-by-step explanation:
=> (x⁴ - 4x² + x² - 4) / (x-2)
=> x² (x²- 4) + 1(x² - 4) / (x - 2)
=> (x² + 1)(x² - 4) / (x - 2)
=> (x² + 1)(x + 2)(x - 2) / (x -2)
=> (x² + 1)(x + 2)
=> x³ + 2x² + x + 2
=> d(x³ + 2x² + x + 2)/dx
=> d(x³)/dx + 2d(x²)/dx + d(x)/dx + d(2)/dx
=> 3x² + 4x + 1 Answer.
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Answers & Comments
given:
to find the derivative
Step-by-step explanation:
=> (x⁴ - 4x² + x² - 4) / (x-2)
=> x² (x²- 4) + 1(x² - 4) / (x - 2)
=> (x² + 1)(x² - 4) / (x - 2)
=> (x² + 1)(x + 2)(x - 2) / (x -2)
=> (x² + 1)(x + 2)
=> x³ + 2x² + x + 2
=> d(x³ + 2x² + x + 2)/dx
=> d(x³)/dx + 2d(x²)/dx + d(x)/dx + d(2)/dx
=> 3x² + 4x + 1 Answer.