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Tuesday, December 10, 2013

Derivative - Algebraic Functions, Powers, 10

Category: Differential Calculus

"Published in Newark, California, USA"

Find y' for


Solution:

Consider the given equation above


Did you notice that the numerator is a product of two binomials? Let's get the product of two binomials at the numerator as follows




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

  

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