If $C(x)= ax^2 -bx - c$ represents the total cost function then the slope of the tangent to the marginal cost curve at the point (x, y ) is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 2a
The total cost function is,
$c(x)=ax^2+bx-c$
and, Marginal cost is,
$mc(x)=\frac{dc(x)}{dx}$
$=2ax-b$
and,
Slope of the tangent = $\frac{d(mc(x))}{dx}=2a$