Ответ:
1. 3π - 4 - (√2/2)
2.
1) f'(x) = cosx - (1/sin²x)
2) (2/cos²x) - (3/sin²x) - (3/x²)
Пошаговое объяснение:
1.
f'(x) = 4x - (2/cos²x) + cosx
f'(3π/4) = 4 * (3π/4) - (2/cos²(3π/4)) + cos(3π/4) =
= 3π - (2/(-√2/2)²) - (√2/2) = 3π - 4 - (√2/2)
2) 1/x³ = x⁻³
f'(x) = (2/cos²x) - (3/sin²x) - 3x⁻² =
= (2/cos²x) - (3/sin²x) - (3/x²)
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Ответ:
1. 3π - 4 - (√2/2)
2.
1) f'(x) = cosx - (1/sin²x)
2) (2/cos²x) - (3/sin²x) - (3/x²)
Пошаговое объяснение:
1.
f'(x) = 4x - (2/cos²x) + cosx
f'(3π/4) = 4 * (3π/4) - (2/cos²(3π/4)) + cos(3π/4) =
= 3π - (2/(-√2/2)²) - (√2/2) = 3π - 4 - (√2/2)
2.
1) f'(x) = cosx - (1/sin²x)
2) 1/x³ = x⁻³
f'(x) = (2/cos²x) - (3/sin²x) - 3x⁻² =
= (2/cos²x) - (3/sin²x) - (3/x²)