This is not my pic because I forgot to screenshot it when I did it. Microsoft has the hardest captcha I have ever had to complete. This one looks easier but I had a similar one that on my phone the images were too small, not recognizable and were more abstract looking shapes. It was so hard, I failed like 8 times (there were several ‘rounds’) and it almost made me second guess whether I might actually be a robot lol. Luckily, there was an audio version where you have to pick from a number of melody recordings and choose the one that was a pattern. Anyone else have trouble with this?
no, you need to derivate the f(x) function twice because the last line asks for f"(x). you do that by taking down the exponent in front of each power of the polynomial and decreasing the power by one each time you derivate.
So for the 13x³: derived once it becomes 3 times 13 x², which equals 39x². Derived a second time, it is 2 times 39x, so 78x.
The 11x² becomes 2 times 11x, and then just 22 (times x power zero). the rest disappears after two derivatives.
The x is given when finding the correct pattern that matches the missing symbol in the first part of the problem, being the dot, so 52. I explained how you find this in a comment somewhere up here :)
Pretty sure 78x + 22 is f double prime of x. So f’’(x) + x simplifies to 79x + 22.
I found the other posts about XOR for solving the visual puzzle.
ah ok you’re adding the final x directly to the polynomial, that’s fine then, yes
f’‘(x) is 78x+22 but the question asks what number is f’'(x) + x, hence 79x+22.
yeah, i just did the derivative first and added that last x at the end, same result