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Differentiate.
$ F(y) = \left (\frac {1}{y^2} - \frac {3}{y^4} \right)(y + 5y^3) $
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00:51
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 2
The Product and Quotient Rules
Derivatives
Differentiation
David L.
March 22, 2022
back of book has way different answer
answer is wrong
Milton S.
March 3, 2021
im confused as to why the equation has to be extended so much and how u get to the last step ?
Missouri State University
Oregon State 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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he It's clear. So when you read here So we're gonna take the derivative. Do you ever do Y won over Y square minus three over y to the fourth comes five. Why cubes? Plus why this becomes equal to D over d. Y won over. Do you won over Wife Square minus three over whites The fourth by like you Plus why less one over Why square minus three over y to the fourth Do you over? Do you? Why? By why Q plus. Why, then this becomes equal to negative, too. Why? To the negative cubes minus three times negative four. Why'd the negative five five y que plus why close by times three Wives Square plus one won over Wife Square minus three over wide to the fourth. When you simplify, you get by y to the fourth plus 14 Wise Square plus nine over Y to the fourth.
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