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Differentiate the function.$ G(t) = \sqrt{5t} + \frac {\sqrt{7}}{t} $

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00:38

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Derivatives

Differentiation

Campbell University

Oregon State University

Baylor University

Boston College

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.

00:50

Differentiate the function…

02:46

Differentiate.$$f(t)=\…

01:23

01:22

02:37

03:51

Compute the derivative.

0:00

differentiate the function…

he has clear Sonia right here. So we could re right g of tea and it becomes square root of five t Someone have plus square root of seven t to the negative one. You used the sum and difference roll. So we get D over deep T square root of five t Someone have plus de over DT square root of 72. The negative one power. We're going to take the Constance outside and apply the power all when we get square with a five 1/2 teats a negative 1/2 minus one close square root of seven negative won t to the negative one minus one which is equal to square it a five over two square root of tea. Mina squared of seven over a T square.

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