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Differentiate.
$ y = e^p (p + p\sqrt{p}) $
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00:29
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 2
The Product and Quotient Rules
Derivatives
Differentiation
David Base G.
October 27, 2020
Finally, now I'm done with my homework
Missouri State University
Harvey Mudd College
University of Michigan - Ann Arbor
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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Hey, it's clear. So when you raid here, So we're gonna find the derivative in terms of P do you over DP We're just gonna rewrite this out as p 23 halves plus p times need to pee this this equal to de over de p a p to the three House plus p Times E to the P plus p to the three hubs plus p d over dp bert E to the p. When we simplify, we get p three House plus p eat the p less three house P 2 3/2 minus one plus one. Eat the p This becomes equal to P to the three halves, plus p it to the P plus three the square root of Pete over too, plus one times eat the P.
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