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Monday, December 9, 2013

Derivative - Algebraic Functions, Powers, 9

Category: Differential Calculus

"Published in Newark, California, USA"

Find y' for


Solution:

Consider the given equation above


Since the denominator consists of only one term, then we can rewrite the given equation as follows




Take the derivative with respect to x as follows







Therefore, the answer is

Sunday, December 8, 2013

Derivative - Algebraic Functions, Powers, 8

Category: Differential Calculus

"Published in Newark, California, USA"

Find y' for


Solution:

Consider the given equation above


If an algebraic function is raised to the given exponent or power, then you have to use the formula below in getting the derivative with respect to x as follows




where u is a function of x. Let's consider again the given equation


Take the derivative of the given equation with respect to x as follows







Therefore, the answer is

 

Saturday, December 7, 2013

Derivative - Algebraic Functions, Powers, 7

Category: Differential Calculus

"Published in Newark, California, USA"

Find y' for


Solution:

Consider the given equation above


If the given terms have radicals, then you have to convert those into their equivalent exponent first. In this case for the given equation, let's convert the radicals into their equivalent exponent as follows



Next, take the derivative by power formula of the above equation with respect to x as follows





Therefore, the answer is