Notice that the derivative is in terms of x. Antidifferentiate!
Compare and contrast part (a) with part (b).
Which one requires implicit integration?
Translation: The derivative is equal the the original function squared times a constant.
What can you conclude about the original function?
Is it linear, quadratic, cubic, exponential, trigonometric...?
Use implicit integration to check your conjecture.
Translation: The derivative of this function is a constant.
What can you conclude about the function?
y = −ln|−x + C|
Explain the significance of the absolute value.