Hi, these are just a few problems from my assignment I am having a hard time with. Any help is appreciated. 1) consider function f(x) = 1/3X^3 - 1/2^2 - 6x + 4 a) find the points on the graph at which the tangent lines are horizontal. b) find the slope of the line tangent to the curve at x = 3 f) write an equation of this tangent line 2) After t years the population P is given by P(t) = 2000t^2 + 10000t what is the growth rate at t = 10? Find the derivative: (I put my answers, please doublecheck, thanks) a) f(x) = 1/2x^1/2 + 2/3x^1/4 - x^1/5 f'(x) = 1/4x^-1/2 + 1/6x^-3/4 - 1/5x^-4/5 b) y = 5x^1/3 y'= 5/3x^-2/3 c) g(x) = x^1/3 - x^1/3 g'(x) = 1/3x^-2/3 - 1/3x^-2/3 d) y = x^-3/4 - 3x^2/3 y'= -3/4x^-7/4 - 2x^-1/3 e) h(x) = x/2 + 2/x h'(x) = ? f) y = (3x^2 - 5x +7)/4 y'= ? g)f(x) = -1/3x^3 + 4x^2 - 5x + 6 f'(x)= -x^2 + 8x - 5 h) g(x) = (x^3 + x^5)/(x^2) g'(x) = ? Thanks again!!