Jan 16, 2017 · In order to find the inverse of a function, all you have to do is switch where x and y are and resolve for y. So after switching x and y, y = 3x + 1 becomes x = 3y + 1. Now, we …

Dec 9, 2017 · vertex at (1,-3), the axis of symmetry is at x=1 There are two ways of doing this - completing the square or through differentiation. Either way, we are trying to find the minimum …

Apr 13, 2017 · What is the derivative of this function #sin^-1 (5x)#? Calculus Differentiating Trigonometric Functions Intuitive Approach to the derivative of y=sin(x) 2 Answers

Sep 15, 2014 · For this problem we have 3 options. 1) We can use the completing the square the method to put the equations in Standard Vertex Form, (x-h)^2-k=0 -> vertex (h,-k) 2) We can …

Sep 25, 2014 · f is increasing on (-infty,-3] and [0,infty). The graph of f looks like this: Let us look at some details. f(x)=1/3x^3+3/2x^2+2 By solving f'(x)=0 for x, f'(x)=x^2+3x=x(x+3)=0, we find …

Feb 12, 2017 · Curvilinear asymptote : y = arc tan x. Vertical asymptote: uarr x = 1 darr . Horizontal asymptotes: y = +- pi / 2. The form y = Q(x)+(R(x))/(P(x)), reveals asymptotes y = …

Nov 17, 2015 · Hey there! Generally, to differentiate a product function, the formula is as follows: f(x) = g(x) * h(x) Where the derivative is: f'(x) = g'(x)*h(x) + h'(x)*g(x) In your example, this …

Aug 13, 2017 · Well, according to the rules of logs, if we take the log of both sides: ln(f(x))=ln((x+2)^3(x-1)^4) We can split the multiplication into addition: ln(f(x))=ln(x+2)^3+ln(x …

Check the explanation. Assuiming we know the graph of y=log_5(x), we can see that your function comes from the forementioned one, with two changes: log_5(x) \\to log_5(x+1) \\to …

Jun 15, 2016 · Increasing. We will have to find the sign of the function's derivative at x=2. This will tell us whether the function is increasing or decreasing that that point: If f^'(2)<0, then f(x) is …