Differentiation

Calculus Level 2

If $y = \dfrac {a+b x^2}{x^2}$ , find $\dfrac {dy}{dx}$ when $x=2$ .

\frac {a}2

-\frac {a}2

-\frac {a}4

\frac {a}4

1 solution

Tom Engelsman
Oct 29, 2016

Let the above function y(x) be simplified as:

y(x) = a/x^2 + b;

such that dy/dx = (-2a)/x^3. At x = 2, dy/dx = (-2a)/(2^3) = -a/4.