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

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Find the derivatives of the given functions.$$y=6 \tan e^{x+1}$$

$\frac{d y}{d x}=6 c^{x+1} \sec ^{2} e^{x+1}$

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 6

Derivative of the Exponential Function

Derivatives

Campbell University

Baylor University

University of Michigan - Ann Arbor

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

07:19

Find the derivative of the…

01:41

Find the derivatives of th…

06:36

13:19

01:56

Derivatives Find and simpl…

00:45

00:35

00:37

00:40

01:55

Yeah, we want to find the derivative. Dy dx for the function Y equals six tangent of E. D X plus one to do. So we're gonna rely on during a short cuts that we've been picking up throughout single variable calculus. Specifically Rule 0 to 3 here on the left. Real zero states. DDX BTU is B T u L n B D u D X D X. Interview is E d u d u D X rules one through through the power rule products and chain rules, respectively. We also rely on the fact the derivative of tangent is you can't square to solve so we can combine real zero rule three and the tangent derivative I just described to solve, we note that Y equals 60 X plus one is already in its most easily defensible forms. So dy dx is equal to six. You can't squared and E X plus one by the chain rule, the derivative E X plus one is still E. To the X plus one. So our final solution is six E. To the X plus one time U. C. Can't square of E to the X plus one.

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=-x^{3} \cos x+3 x^{2}…

Find the derivatives of the functions defined as follows.$$y=-6 x^{4} \s…

Find the derivative of the following functions.$$y=\tan x+\cot x$$

Find the derivative of the following functions.$$y=\frac{\tan w}{1+\tan …

Derivatives Find and simplify the derivative of the following functions.…

Find the derivatives of the functions defined as follows.$$y=\tan ^{2} x…

Find the derivatives of the functions defined as follows.$$y=-\cos 2 x+\…

Find the derivative of the functions.$$f(x)=6 e^{5 x}+e^{-x^{2}}$$

Find the derivative of the function.$$f(x)=\frac{x}{e^{6 x}}$$

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.