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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

 

Friday, December 6, 2013

Derivative - Algebraic Functions, Powers, 6

Category: Differential Calculus

"Published in Newark, California, USA"

Find y' for


Solution:

Consider the given equation above


The given equation is a simple algebraic function in terms of x. Take the derivative of the given equation with respect to x by power formula as follows







Therefore, the answer is

Thursday, December 5, 2013

Derivative - Algebraic Functions, Powers, 5

Category: Differential Calculus

"Published in Newark, California, USA"

Find y' for


Solution:

Consider the given equation above


The exponents at the given equation are negative. If the exponents are negative, then we can take the derivative by power formula also as follows






Therefore, the answer is