— Lemma

DeepGradient & optimization

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.4 Directional Derivatives and Gradients, #41 · Multivariable Calculus · Gradient & optimization

Find the velocity v and the tangent vector T. Then compute the rate of change $df / d t = grad f \cdot v$ and the slope $df / d s = grad f \cdot T$ .

$f = x^{2} + y^{2} x = t y = t^{2}$

~11 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.4 Directional Derivatives and Gradients, #41

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.