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Problem

Differentiate. $ y = \frac {x}{2 - tan x} $

02:02

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Problem 8 Easy Difficulty

Differentiate.

$ f(t) = \frac {cot t}{e^t} $

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01:08

Frank Lin

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

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Derivatives

Differentiation

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Top Calculus 1 / AB Educators

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Oregon State University

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Lectures

Video Thumbnail

04:40

Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

Video Thumbnail

44:57

Differentiation Rules - Overview

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

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Problem 57

Problem 58

Video Transcript

Hey, it's close. So when you raid here, So we're gonna take the derivative of KO 10 gin over E to the T. So we're gonna ply the quotient Roll. First we got a code 10 gin turns B to the T minus D over DT of e to the T oh, tangent all over e to the T Square. This becomes equal to negative coast sequence square terms T turns e to the T minus e to the t co tension over E to the T Square. And this can be simplified too negative Coast seeking square plus co tangent well over feet to the T.

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James Stewart

Calculus: Early Transcendentals

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Related Topics

Derivatives

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Top Calculus 1 / AB Educators

Heather Zimmers

Oregon State University

Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

Michael Jacobsen

Idaho State University

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

Video Thumbnail

44:57

Differentiation Rules - Overview

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

Join Course

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02:23

Differentiate. $ f(t) = te^t $ cot $ t $

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Differentiate. $ f(t) = te^t $ cot $ t $

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Differentiate_ f(t) = tet cot(t) f'(t)

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Differentiate (with respect to $t$ or $x$ ): $$f(t)=\cot t$$

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Differentiate. $f(t)=t e^{t} \cot t$

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Differentiate the function. $ F(t) = (\ln t)^2 \sin t $

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Differentiate the function. $$ F(t)=e^{t \sin 2 t} $$

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Differentiate $f(t)=e^{-t}$ by writing it as $f(t)=\frac{1}{e^{t}}$.

01:54

Differentiate. $$f(t)=\frac{\ln t^{2}}{t^{2}}$$

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