Answer:
[tex]\frac{dy}{dx}[/tex] = 12x³ - 6x² - 7
Step-by-step explanation:
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = 3[tex]x^{4}[/tex] - 2x³ - 7x + 5, then
[tex]\frac{dy}{dx}[/tex] = 4.3[tex]x^{4-1}[/tex] - 3.2[tex]x^{3-1}[/tex] - 7[tex]x^{1-1}[/tex] + 0
= 12x³ - 6x² - 7
