F(x) = 3 sin x + 3 cos x
0 ≤ x ≤ 2π. find the interval in which f is concave up and concave down. find the inflection points

so the second derivative is -3sinx-3cos x
you'll have to take 2 conditions. 1) f''(x) = 0 2) f''(x) = UND depends on the function of course when you set your derived function to zero, you'll get numbers, those are your x's and to find the y's to finish up your process , plug in the x you found in the original function, and with that, you'l have your inflection points

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204