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 derivative of the following functions.$$y=e^{x} \csc x$$

$e^{x}$ csc x (1 - cot x)

Calculus 1 / AB

Chapter 3

Derivatives

Section 5

Derivatives of Trigonometric Functions

Differentiation

University of Michigan - Ann Arbor

Idaho State University

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:14

Find the derivative of the…

01:10

00:19

01:54

Calculate the derivative o…

00:42

02:04

01:01

00:40

03:52

So this problem assets to find the derivative of eating the X times kusi can't of X and because we have two different functions being multiplied together, we want to use the product rule which is in the red on the right hand side. So to start, we want to define our A and B terms. So our a is eating the X and the derivative of E. The X is always either the ex and our be is Cosi can't of eggs and be crime. If you look up a formula, she or if you know you're triggered Andes is cosi can't of x co tangent of X and this is negative. So now we can plug these terms into this formula here so we'll get why Prime equals you. The x times kusi can't of X close into the X times negative Cosi can't of x co tangent and X And what you notice is that old terms haven't even the X Cosi can't in them so we can factor that out so well. Factor out e small factor out e to the X Cosi can't of X and what we're left is this will send this first term will simplify toe one and we're left with co tangent of X in this second term

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 derivative of the following functions.$$y=e^{x} x^{e}$$

Find the derivative of the following functions.$$y=x^{e}$$

Find the derivative of the following functions.$$f(x)=x e^{-x}$$

Calculate the derivative of the following functions.$$y=\csc e^{x}$$

Find the derivative of the following functions.$$y=\ln \left(e^{x}+e^{-x…

Find the derivative of the following functions.$$y=x \ln x-x$$

Find the derivative of the following functions.$$y=e^{-x} \sin x$$

Find the derivative of the following functions.$$y=x^{2} \ln x$$

Find the derivative of the following functions.$$f(x)=\frac{e^{x}}{e^{x}…

Find the derivative of the following functions.$$y=\sec x+\csc x$$

00:51

Evaluate the derivative of the following functions.$$f(x)=\sec ^{-1} \sq…

01:58

04:57

Evaluate the following limits or state that they do not exist. (Hint: Identi…

01:37

For each of the following composite functions, find an inner function $u=g(x…

02:55

Find $y^{\prime \prime}$ for the following functions.$$y=e^{x} \sin x$$<…

05:05

Checking your work graphically Analyze the following limits. Then sketch a g…

02:47

Determine the interval(s) on which the following functions are continuous: t…

02:06

Implicit differentiation Carry out the following steps.a. Use implicit d…

04:33

The right-sided and left-sided derivatives of a function at a point a are gi…

04:05

Strange behavior near $x=0$a. Create a table of values of $\sin (1 / x),…

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.