Differentiate the following expressions with respect to x: 1. y = 4 (x)^(2) [If y = x^n, dy/dx = n(x)^(n-1)] dy/dx = d(4(x)^2)/dx = 4 2x = 8x. 2. y(x)^(2)+7x+2 dy/dx = d((x)^(2)+7x+2)/dx = 2x+7. 3. y = e^(3x) dy/dx = d(e^(3x))/dx = 3 e^(3x). 4. y=x^(-3)+x^(3/2) [If y = e^(nx), dy/dx = n e^(nx)] dy/dx = d(x^(-3) + x^(3/2))/dx = -3x^(-4) + (3/2)x. 5. y = x + x dy/dx = d(x + x)/dx = 1 + 1/(2x).