Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School
Fermi › Problems
Mathematics
Mathematics
Problem If f ′ ( x ) = 1 x + x f'(x) = \frac{1}{x} + x f ′ ( x ) = x 1 + x and f ( 1 ) = 5 / 2 f(1) = 5/2 f ( 1 ) = 5/2 , then f ( x ) = f(x) = f ( x ) =
A) log x + x 2 2 + 2 \log x + \frac{x^2}{2} + 2 log x + 2 x 2 + 2
B) log x + x 2 2 + 1 \log x + \frac{x^2}{2} + 1 log x + 2 x 2 + 1
C) log x − x 2 2 + 2 \log x - \frac{x^2}{2} + 2 log x − 2 x 2 + 2
D) log x − x 2 2 + 1 \log x - \frac{x^2}{2} + 1 log x − 2 x 2 + 1
A) log x + x 2 2 + 2 \log x + \frac{x^2}{2} + 2 log x + 2 x 2 + 2
B) log x + x 2 2 + 1 \log x + \frac{x^2}{2} + 1 log x + 2 x 2 + 1
C) log x − x 2 2 + 2 \log x - \frac{x^2}{2} + 2 log x − 2 x 2 + 2
D) log x − x 2 2 + 1 \log x - \frac{x^2}{2} + 1 log x − 2 x 2 + 1
Browse the problem library