Let f(x) = f sin t² dt. Find f'(x) x² 2x 2x sin(x4) - 2 sin(4x²) sin(x4) — sin(4x²) 2x cos(x) - 2 cos (4x²) cos(x4) — cos(4x²)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let \( f(x) = \int_{2x}^{x^2} \sin t^2 \, dt \). Find \( f'(x) \).

Options:
- \( \circ \quad 2x \sin(x^4) - 2 \sin(4x^2) \)
- \( \circ \quad \sin(x^4) - \sin(4x^2) \)
- \( \circ \quad 2x \cos(x^4) - 2 \cos(4x^2) \)
- \( \circ \quad \cos(x^4) - \cos(4x^2) \)
Transcribed Image Text:Let \( f(x) = \int_{2x}^{x^2} \sin t^2 \, dt \). Find \( f'(x) \). Options: - \( \circ \quad 2x \sin(x^4) - 2 \sin(4x^2) \) - \( \circ \quad \sin(x^4) - \sin(4x^2) \) - \( \circ \quad 2x \cos(x^4) - 2 \cos(4x^2) \) - \( \circ \quad \cos(x^4) - \cos(4x^2) \)
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