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Differentiate the function.$ y = 3e^x + \frac{4}{\sqrt[3]{x}} $
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00:28
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 1
Derivatives of Polynomials and Exponential Functions
Derivatives
Differentiation
Missouri State University
Harvey Mudd College
Baylor University
University of Nottingham
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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Differentiate the function…
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Differentiate each functio…
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he It's clear. So when you right here. So we're gonna start with different shooting the function in terms of X. So we have three feet X plus four over X to the one negative 1/3 power. Oh, this becomes equal to D over d x three each the X plus de over DX four bucks to the negative 1/3 power. We're gonna apply the power rule to get 38 x close negative 1/3 terms for X to the negative 4/3. This becomes equal to three feet X minus 4/3 x to the negative 4/3.
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