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Problem

Find the derivative of the function. $ f(z) = e^…
01:14

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Problem 27 Medium Difficulty

Find the derivative of the function.
$ r(t) = 10^{2 \sqrt {t}} $

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Related Courses

Calculus 1 / AB
Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 4

The Chain Rule

Related Topics

Derivatives

Differentiation

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Top Calculus 1 / AB Educators
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Missouri State University

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Baylor University

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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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Watch More Solved Questions in Chapter 3

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Problem 16
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Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
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Problem 31
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Problem 34
Problem 35
Problem 36
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Problem 57
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Problem 75
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Problem 77
Problem 78
Problem 79
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Problem 81
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Problem 83
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Problem 85
Problem 86
Problem 87
Problem 88
Problem 89
Problem 90
Problem 91
Problem 92
Problem 93
Problem 94
Problem 95
Problem 96
Problem 97
Problem 98
Problem 99
Problem 100

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Calculus: Early Transcendentals

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Related Topics

Derivatives

Differentiation
Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

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
Recommended Videos

01:42

Find the derivative of the function. $ r(t) = 10^{2 \sqrt {t}} $

02:05

Find the derivative of the function. $$f(t)=-e^{-\sqrt{2 t}}$$

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Compute the derivative. $$\mathrm{r}(t)=\left\langle t, t^{2}\right\rangle$$

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