<h3>Find the derivatives of Y = <em>8X⁴</em> + 16X³ - 4X² + X - 20 </p></h3>

Question 1 :Y = 8X⁴ + 16X³ - 4X² + X - 20

SOLUTION

Y = 8X⁴ + 16X³ - 4X² + X - 20

Recall that Xⁿ = nX^n-1

So therefore: dy dx = 4(8)X^4-1 + 3(16)X^3-1 - 2(4)X^2-1 + X^1-1 - 0

dy dx = 32X³ + 48X² - 8X + 1