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If $ f(t) = $ sec $ t, $ find $ f"(\pi/4). $

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00:51

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

Derivatives

Differentiation

Campbell University

Baylor University

University of Michigan - Ann Arbor

Lectures

04:40

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.

44:57

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.

01:49

If $$f(t)=\sec t, \text { …

02:23

Find $f$.$$\begin{…

04:41

If $$f(x)=\sec x, \text { …

00:55

Find $f$$$f^{\prime}(t…

00:59

01:42

Find $ f $.

$ f&#x…

02:11

Find $f$.$$f^{\prime}(…

07:49

find $f^{\prime \prime}(2)…

02:34

Find $f(4)$ if $\int_{0}^{…

03:11

$$f(x)=\sec \frac{\pi x}{4…

04:04

Determine $f(t-a)$ for the…

01:26

Find $f$.$$f^{\pri…

Hey, it's clear. So when you read here So we're gonna take the derivative of speaking. We got seek It turns tangent we're gonna drive that a second time using the product rule and yet seek it. Do you ever DT for tone Jim plus 10 gin Do you over DT seton Is this equal to seek it? Times seeking square plus 10 gin. I'm seeking time. Tension. So when we plug in pie over four, we get three square root too.

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