Question

Find first derivative and second derivative of dependent variable
a. y = x² + x + 8 ​

Answer 1

dy/dx = d/dx (x^2 + x + 8)

= 2x + 1

d/dx(dy/dx) = d/dx(2x + 1)

d^2 y /dx^2 = 2 + 0

so,

first derivative = (2x + 1)

and second derivative = 2