### Home > CALC > Chapter Ch7 > Lesson 7.3.2 > Problem 7-120

7-120.

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.