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Differentiate the function.$ g(t) = 2t^{-3/4} $

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$$g^{\prime}(t)=2\left(-\frac{3}{4} t^{-7 / 4}\right)=-\frac{3}{2} t^{-7 / 4}$$

00:34

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Derivatives

Differentiation

Villele V.

October 4, 2020

Clarissa need to explain everything like everything that she is teaching is new to who ever is going to see her video. Do not assume they know it explain every step. Or else you leave the view more confuse than before. Thank you

Missouri State University

Harvey Mudd College

Baylor 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.

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It's Claire's when you rainier so we have g t this sequel to two tea to the negative 3/4. When we differentiate this, we get d over a d t of to t to the negative 3/4. We could take two outside and we got to d over DT for a tea to the negative three. Florence This equals two negative three house T to the negative seven over four.

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