I know how to do part A. The parts after however, are giving me some trouble :/

chilledz3non Oct 14, 2014

#1**+5 **

Part b: y = (1/3)x^3 + (1/2)x^2 + (1/4)x

y' = 3(1/3)x^2 + 2(1/2)x^1 + 1(1/4)x^0

y' = x^2 + x + 1/4 The derivative of a constant is zero.

y'' = 2x + 1

c) s = -2t^-1 + 4t^-2 (Write as negative exponents; it's easier.)

x' = -1(-2t^-2) + -2(4t^-3)

x' = 2t^-2 - 8t^-3

x'' = -4t^-3 + 24t^-4

d) r = 12θ^-1 - 4θ^-3 + θ^-4

r' = -12θ^-2 + 12θ^-4 - 4θ^-5

r'' = 24θ^-3 - 48θ^-5 + 20θ^-6

e) r = 2θ^(-1/2) + 2θ^(1/2) Easier to work if negative, fractional exponents.

r' = -θ^(-3/2) + θ^(-1/2) Subtract 1 from each exponent

r'' = (3/2)θ^(-5/2) - (1/2)θ^(-3/2)

f) w = re^(-r)

w' = -re^(-r) (Do you have exponentials?)

g) y = x^(-3/5) + π^(3/2) π^(3/2) is a constant, so its derivative is zero

y' = (-3/5)x^(-8/5) Subtract 1 from the exponent

geno3141 Oct 14, 2014