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Find $y^{\prime}$ and $y^{\prime \prime}$$$y=\sqrt{1-\sec t}$$

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 4

The Chain Rule

Derivatives

Differentiation

Campbell University

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

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.

08:52

Find $$d y / d x$$$$x=…

01:03

Find $y^{\prime}$ and $y^{…

06:27

Find $y^{\prime \prime}$

01:50

Find $d y / d t$.$$y=\…

01:02

Find $y^{\prime}$.$$

02:58

Find $d y$.$$y=e^{\tan…

02:32

Find $d y / d x.$$$y=\…

0:00

So there is a type of here. This should be square of one minus Ah seventy and ah, So the first derivative should be by the Cheryl and we have the derivative inside here, which is our sea contention And the second the brevity we'LL use. Ah, the product rule. Certain precautions rule so that denominator squares thiss derivative off this's again Will we use for the room? So this we have sea contention times ten gin minus even killed t This's a derivative off numerator times that day nominate her and minus numerator, which is plus this times at the riveting off the denominator which is we've computed here so and you can simplify from here.

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