Question

Resolver as questões de derivada.

Answer 1

$a) f(x)= x^{-2} + 3x^{-3} + 6\\\\f'(x)= -2x^{-2-1} + 3(-3)x^{-3-1} + 0\\\\f'(x)=-2x^{-3}-9x^{-4}\\\\f'(x)= \frac{-2}{x^3} - \frac{9}{x^4} \\\\f'(x)=- \left(\frac{2}{x^3}+ \frac{9}{x^4} \right)$




$b) f(x)= \frac{1}{x} - \frac{2}{x^2} + \frac{3}{x^3} \\\\f(x)=x^{-1}-2x^{-2}+3x^{-3}\\\\f'(x)= -1x^{-1-1} -2(-2)x^{-2-1} +3(-3)x^{-3-1}\\\\f'(x)=-x^{-2}+4x^{-3} -9x^{-4}\\\\f'(x)= \frac{-1}{x^2} + \frac{4}{x^3} - \frac{9}{x^4}$