Question

Solve the differential equation.
f ''(x) = x^−3/2, f '(4) = 7, f(0) = 0

Answer 1

Hmm... let's see if I remember how to do these. Ready to try?

Answer 2

\[x^{(-3/2)}\] or \[x^{-3}/2\]?

Answer 3

Hint: f(0) = 0
The derivative of f, when 4 is plugged in as x, will equal 7.
The derivative of the derivative of f is x^-3/2

So how do we find the 'original equation' that something was before deriving. In other words, how do we antiderive?