Answer:
10[tex]x^{4}[/tex] - 21x² + 3
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]
y = 2[tex]x^{5}[/tex] - 7x³ + 3x
[tex]\frac{dy}{dx}[/tex] = (5 × 2)[tex]x^{5-1}[/tex] - (3 × 7)[tex]x^{3-1}[/tex] + 3[tex]x^{1-1}[/tex]
= 10[tex]x^{4}[/tex] - 21x² + 3