Question

Знайти похідні функцій

1) y = 4x^2 + 3x

2) y = ( 5x - 3)^3

3) y = cos^4 x

Answer 1

y = 4x^2 + 3x

y ` = (4x^2 + 3x) ` = 8x + 3

y = (5x-3)^3

y ` = ((5x-3)^3) ` = 3(5x-3)^2 × (5x-3) ` = 3(5x-3)^2 × 5 = 15(5x-3)^2

y = cos^4x

y ` = (cos^4x) ` = (-sin^4x) × (4x)` = (-sin^4x) × 4 = -4sin^4x