Urgente!! Calcule a derivada das funções:
Respostas
Resposta:
Explicação passo-a-passo:
k)
f(x) = 5senx + 2cosx - 4
f'(x) = 5cosx -2senx
i)
f(x) = (x - 1)(x + 3)
f'(x) = (x - 1)(1) + (x + 3)(1)
f'(x) = x - 1 + x + 3
f'(x) = 2x + 2
f'(x) = 2(x + 1)
m)
f(x) = (x² - 5)(2x + 3)
f'(x) = (x² - 5)(2) + (2x + 3)(2x)
f'(x) = 2x² - 10 + 4x² + 6x
f'(x) = 6x² + 6x - 10
f'(x) = 2( 3x² + 3x - 5)
n)
f(x) = x²(3x - 1)
f'(x) = x²(3) + (3x - 1)(2x)
f'(x) = 3x² + 6x² - 2x
f'(x) = 9x² - 2x
f'(x) = x(9x - 2)
o)
f(x) = _ 4x³ + 1_
5x²
f'(x) = _5x²(12x²) - (4x³ + 1)(10x)_
25x^4
f'(x) = _60x^4 - 40x^4 - 10x_
25x^4
f(x) = _20x^4 - 10x_
25x^4
f'(x) = _5x(4x³ - 2)_
25x^4
f'(x) = _4x³ - 2_
5x³
f'(x) = _2(2x³ - 1)_
5x³