Arcsin is the inverse function of sine. If y = sin-1x, then sin y = x. The derivative of arcsin is 1/√1 - x²
ln(0) is undefined in real numbers due to e^0 = 0. ln(x) approaches negative infinity as x approaches 0 from right. ln(x) is continuous and differentiable for x > 0. ln(x) is strictly increasing for x > 0
Exam contains 6 problems worth 50 points each. Solutions must be written in provided space. Partial credit given for incomplete work. Show work unless asked otherwise
Integration assigns numbers to functions for displacement, area, volume calculations. The integral of ln(x) is xln(x) - x + c. ln(x) is a logarithm to base e (2.7182)
Born in 1862 in Königsberg, Germany, to a judge father. Graduated from Wilhelm Gymnasium in 1880. Obtained doctorate in 1885 under Ferdinand von Lindemann
Second derivative is derivative of derivative of function. Can be expressed as rate of change of rate of change. Usually denoted as