Step-by-step explanation:
f(x) = 38 cos(x²)
Use chain rule to take the derivative.
f'(x) = -38 sin(x²) (2x)
f'(x) = -76x sin(x²)
Use product rule and chain rule to take the derivative.
f"(x) = -76x cos(x²) (2x) + (-76) sin(x²)
f"(x) = -152x² cos(x²) − 76 sin(x²)
