💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 50 Medium Difficulty

Use logarithmic differentiation to find the derivative of the function.

$ y = (\ln x)^{\cos x} $


$\frac{d y}{d x}=(\ln x)^{\cos x}\left[\frac{\cos x}{x \ln x}-\sin x \cdot \ln (\ln x)\right]$

More Answers


You must be signed in to discuss.

Video Transcript

this trouble? Were you in function wise, they shall Love affects the Republic coaster. Next rescues We're gonna make the transition. To undo what? Let's start by taking nation love boats I've become actual applies in nature law. Oh, nature, Look up thanks to the public oh, side effects So we can take this public coastline and write essay Oh, boy. Here. So that would be then. No side effects times nature law off natural X that we could take decorative off both sides But respect X on weapons that we have I don't know why and reconcile We have two functions Which Aaron about patient on which our fortunes off Ex Oregon is portable Let's talk there is first her which is negative Sign X looks like my second term nation Law of nature Looking Thanks plus first time up spot by Derek A second burn witches born over next level X times they were took nature look effect which is we also know what function Why so we can multiply records and find the narrative as natural law. Thanks to the power of Coke Side X looks like by no sign of thanks you might buy X lookalikes minus sine x Times Nation Log off Nature Love office

Top Calculus 1 / AB Educators
Grace H.

Numerade Educator

Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University