Question

resolva derivadas

a) f(x)= ax² + 4bx ³+ 4bx³ (sendo a e b constantes)

b)f(x)= 4x² + 9x + 3/x³

c)f(x)= 3/2 x^-2/3 + 9x^-7/3

Answer 1

a)
f'(x) =  2ax + 12bx² + 12bx² = 2ax + 24bx²
b)
f'(x) = 8x + 9 + ___x³×0 - 3×3x²__ =  8x + 9 - __9x²__ = 8x + 9 - 9(x^-4)
                         x^6                              x^6
c)
 f'(x) = (-2/3)(3/2)x^(-5/3)-9(7/3) x^(-10/3) = -x^(-5/3)-21x^(-10/3)