— Lemma

MediumDerivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.1 The Derivative of a Function, #20 · Calculus · Derivatives

The slope of $y = 1/ x$ at $x = 1/4$ is $y^{'} = - 1/ x^{2} = - 16$ . At $h = 1/12$ , which of these ratios is closest to $- 16$ ?

$\frac{y ( x + h ) - y ( x )}{h} \frac{y ( x ) - y ( x - h )}{h} \frac{y ( x + h ) - y ( x - h )}{2 h}$

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.1 The Derivative of a Function, #20

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.