Describe the patterns that you see emerge as you find the derivatives of simple functions like y = x^2, y = x^3, and y = 1/x . (Hint - It might be helpful to remember that, although y = 1/x is written as a rational function, it can also be expressed as a power function. That is, it can be expressed in the form y = x^n)
b. Using the patterns that you described in a), find the function that would produce a derivative of y = x. Prove your results.

Question

Describe the patterns that you see emerge as you find the derivatives of simple functions like y = x^2, y = x^3, and y = 1/x .  (Hint - It might be helpful to remember that, although y = 1/x  is written as a rational function, it can also be expressed as a power function.  That is, it can be expressed in the form y = x^n)
b. Using the patterns that you described in a), find the function that would produce a derivative of y = x. Prove your results.

anonymous · Answer

I really have no idea but is this question an A level or O level question?