Answer:
[tex]\frac{dy}{dx}[/tex] = - 10x - 3
Step-by-step explanation:
differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and [tex]\frac{d}{dx}[/tex] (constant ) = 0
then
y = - 5x² - 3x + 6
[tex]\frac{dy}{dx}[/tex] = 2(- 5)[tex]x^{2-1}[/tex] + 1(- 3)[tex]x^{1-1}[/tex] + 0
= - 10x - 3[tex]x^{0}[/tex] + 0
= - 10x - 3
