Question

determine as seguintes derivadas
a) f(x)=28x²-12x-8
b)f(x)=(x+1)
(3x+4)
c)f(x)=(x³+2x²-10)
(x+1)
d)f(x)=(x³+3x)(2x-8)

Ajude por favor​

Answer 1

Resposta:

Explicação passo-a-passo:

a)

f(x) = 28x² - 12x - 8

f'(x) = 2.28x - 12

f'(x) = 56x - 12

b)

f(x) = (x + 1)(3x + 4)

f'(x) = (x + 1)'(3x + 4) + (x + 1)(3x + 4)'

f'(x) = 1(3x + 4) + (x + 1).3

f'(x) = 3x + 4 + 3x + 3

f'(x) = 6x + 7

c)

f(x) = (3x³ + 2x² - 10)(x + 1)

f'(x) = (3x³ + 2x² - 10)'(x + 1) + (3x³ + 2x² - 10)(x + 1)'

f'(x) = (9x² + 4x)(x + 1) + (3x³ + 2x² - 10).1

f'(x) = 9x³ + 9x² + 4x² + 4x + 3x³ + 2x² - 10

f'(x) = 12x³ + 15x² - 10

d)

f(x) = (x³ + 3x)(2x - 8)

f'(x) = (x³ + 3x)'(2x - 8) + (x³ + 3x)(2x - 8)'

f'(x) = (3x² + 3)(2x - 8) + (x³ + 3x).2

f'(x) = 6x³ - 24x² + 6x - 24 + 2x³ + 6x

f'(x) = 8x³ - 24x² + 12x - 24