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Differentiate.
$ y = (z^2 + e^z)\sqrt{z} $
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00:41
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 2
The Product and Quotient Rules
Derivatives
Differentiation
Missouri State University
Harvey Mudd College
Baylor University
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.
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$ f…
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it's clear. So when you read him so we're gonna take the derivative in terms of C for a C square of the times each Z plus C square. This becomes equal to D over d Z square root of C times you to the sea plus C square. Less square word of Z do over d z you to the seed plus C square. This becomes equal to eat the C plus C square over two square root of C plus you to the C plus two C spirit of C. This becomes equal to toothy plus fun times E to the C plus five C square over two square root of C.
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