Question

Consider the graph of the function g give

Answer 1

What is the x-value (x>0) that maximizes A(x)?

Answer 2

first derive a formula for A(x)

Answer 3

area=base x height

Answer 4

@TuringTest Derivative = 2/(x^2+1) - (Ln(x^2+1)/(x^2)?

Answer 5

that's the derivative of what?, g(x) or A(x) ?

Answer 6

It's the derivative of g(x).

Answer 7

and how will that help us?

Answer 8

Oh, lol. I read what you said wrong. I thought you said to find the formula for g(x).

Answer 9

ah, well what you wrote would be g'(x)
but no, think simple geometry, base X height = area

Answer 10

Wouldn't that make it six for the rectangle area then? 0.3 x 20 = 6.

Answer 11

in your particular picture, yes
but we need a general equation for A(x) to find the value of x that maximizes that area

Answer 12

I am not sure how to derive an equation for it then.