A relation between a function f(x) and its derivative f'(x) = x√f(x) is given with an initial condition on f(x) as f(4)=16. One needs to find the value of the second derivative of the function i.e., f"(4). Also an expression to f(x) in terms of x is to be evaluated.
Please see the attached file for the fully formatted problems.
keywords: derivatives, differentiation
First the value of the second derivative is calculated using the product rule and ...
Derivatives are investigated. The solution is detailed and well presented.