If $C(x)=15x^3-3\sqrt{5}x+\sqrt{7}$ represents the total cost of producing x items, the slope of the marginal cost function at x =1 is :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 90
The Marginal Cost (MC) function is,
$MC(x)=\frac{d}{dx}C(x)$
$=\frac{d}{dx}(15x^3-3\sqrt{5}x+\sqrt{7})$
$=45x^2-3\sqrt{5}$
Slope = $\frac{dMC(x)}{dx}=90x$
Slope at $x=1$ = 90