💬 👋 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.$$y=\frac{1}{1+4 x^{2}}-\tan ^{-1} 2 x$$
$\frac{d y}{d x}=\frac{-2(2 x+1)^{2}}{\left(1+4 x^{2}\right)^{2}}$
Calculus 1 / AB
Chapter 27
Differentiation of Transcendental Functions
Section 3
Derivatives of the Inverse Trigonometric Functions
Derivatives
Missouri State University
Campbell University
Harvey Mudd College
Baylor University
Lectures
03:09
In mathematics, precalculu…
31:55
In mathematics, a function…
01:05
Evaluate the derivatives o…
00:45
Find the derivatives of th…
00:37
00:29
01:12
Evaluate the derivative of…
02:15
01:45
02:57
00:46
Find the derivative of the…
03:44
Find the derivative of $y$…
Okay, so before we, um, take the derivative of the following will start for rewriting this as negative exponents, sending attention in verse of X squared. What's for your fire of negative blood and I'll taking our evidence. We'll start with our power rule. That's negative. One vengeance inverse of X squared plus four but a par of negative one on minus one said It's negative, too. And then times derivative of tangent interest. That's one over one plus R Inside squared and in times conservative of X squared plus four. That's okay, so we get negative. Two x over. We can bring this sound, too or did not mean, but it's vengeance in verse of squares was four to the power of two times one plus X squared plus four Part two.
View More Answers From This Book
Find Another Textbook
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…
Evaluate the derivatives of the following functions.$$f(x)=1 / \tan ^{-1…
Find the derivatives of the functions defined as follows.$$y=\tan ^{2} x…
Find the derivatives of the functions defined as follows.$$y=\frac{\tan …
Evaluate the derivatives of the following functions.$$f(y)=\tan ^{-1}\le…
Evaluate the derivative of the following functions.$$f(x)=1 / \tan ^{-1}…
Find the derivatives of the functions defined as follows.$$y=3 \tan \lef…
Evaluate the derivative of the following functions.$$f(y)=\tan ^{-1}\lef…
Find the derivatives of the functions.\begin{equation}y=\frac{1}{\le…
Find the derivative of the function.$y=\sec ^{2} x+\tan ^{2} x$
Find the derivative of $y$ with respect to the appropriate variable.$$y=…
Create an account to get free access
Join Numerade as a
Already have an account? Log in
