calculus math202

Question

Find the second derivative of f(x) = 5x ln(x) and evaluate it at x=2. (Enter your answer correct to at least three decimal places.) 

Answer 1

We will have to take the derivative twice for this question, involving the product rule.

f(x) = 5x * ln(x)

f'(x) = 5 * ln(x) + 5x * (1/x) = 5ln(x) + 5

f''(x) = 5/x

f''(2) = 5/2 = 2.5