Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Find the derivatives of the given functions.$$r=0.5 \ln \cos \left(\pi \theta^{2}\right)$$

$\frac{d r}{d \theta}=-\pi \theta \tan \left(\pi \theta^{2}\right)$

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 5

Derivative of the Logarithmic Function

Derivatives

Campbell University

Oregon State University

Harvey Mudd College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:49

Find the derivatives of th…

03:15

03:01

03:30

02:03

01:23

Calculate the derivative o…

01:22

01:31

Find the values of the der…

01:44

Find the derivative of the…

03:45

Yeah, we want to find dy dx for the function. Why is equal to 0.5 natural algorithm. Co sign up Iraq square to take this derivative. We need to have an understanding of the relatives of transcendental functions as such. Let's not relevant relatives now. So I have four rules listed here on the left of zero. Is DDX lobby of U equals one over you, log B E D U D X D X L N U equals one of the U D. X. Rules 123 are respectively the power products in general. Why is already written? It's most easy differential form so we can proceed to differentiate for this. We're going to use G D F L N. U. Where U. S coast Antioch square. So we must have the relative is do I. D. X equals 0.5 times one over you. One overcoats. Empire squared times the U. D. X. Which is signed by ax squared times two pi attacks by the general. Thus Science Square over coast pilots were just tangent squared. We can simplify this Dy DX two pI X tangent of pi X squared

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Find the derivatives of the functions.$$r=\sin \left(\theta^{2}\right) \…

Find the derivatives of the functions.$$r=(\csc \theta+\cot \theta)^{-1}…

Find the derivatives of the functions.\begin{equation}r=2\left(\frac…

Find the derivatives of the functions.$$y=\theta^{3} e^{-2 \theta} \cos …

Find the derivatives of the functions.$$r=\sec \sqrt{\theta} \tan \left(…

Calculate the derivative of the following functions.$$y=\theta^{2} \sec …

Find the derivatives of the functions.$$y=\cos \left(e^{-\theta^{2}}\rig…

Find the values of the derivatives.$$\left.\frac{d r}{d \theta}\righ…

Find the derivative of the following functions.$$y=\csc ^{2} \theta-1$$<…

Find the derivatives of the functions.$$r=6(\sec \theta-\tan \theta)^{3 …

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.