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babypudding
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Homework Statement
Find dc/dp and dc/dq.
Homework Equations
c= (2p/q)-1/2
The Attempt at a Solution
I just want to make if I'm right. I got...
dc/dp = (2/q)-1/2
dc/dq = [-2p/(q^2)] -1/2
Thanks.
A derivative is a fundamental concept in calculus that represents the rate of change of a function with respect to its independent variable. In simpler terms, it measures how much a function changes when its input changes.
Derivatives are used in a variety of scientific and mathematical applications, such as modeling physical systems, optimizing functions, and solving differential equations. They also have practical applications in fields such as economics and finance.
The derivative of a function can be found using various techniques, such as the power rule, product rule, and chain rule. It involves differentiating the function with respect to its independent variable and simplifying the resulting expression.
The derivative of a function represents the slope of its graph at a specific point. This means that the derivative can be used to determine the steepness or direction of a curve at a given point.
Yes, derivatives can be negative. This indicates that the function is decreasing at that point, meaning its output is decreasing as its input increases. A positive derivative indicates that the function is increasing at that point.