Question

If local maximum of $f(x) = \frac{ax+b}{(x-1)(x-4)}$ exists at $(2,-1)$, then $a+b=$

• A. 0
• B. -1
• C. 1
• D. 2

Hint:

For a local extremum at $(x_0,y_0)$: $f(x_0)=y_0$ and $f'(x_0)=0$. Use these to form equations and solve for unknowns.

Answer 1

The Correct Option is C