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Saturday, December 15, 2012

Derivative - Algebraic Functions, Radicals

Category: Differential Calculus, Algebra

"Published in Newark, California, USA"

Find the derivative for



Solution:

Consider the given equation



Express the above equation in terms of an exponential power as follows



First, get the derivative of a function in terms of a power



Next, get the derivative of a function inside the exponential function in terms of a rational function





Simplify the above equation









We can make a negative exponent into a positive exponent by getting the reciprocal of a rational function inside the exponential function as follows



As a rule in Mathematics, we have to rationalize the denominator in order to eliminate the cube root sign at the denominator as follows





Therefore,