Category: Differential Calculus, Algebra, Trigonometry
"Published in Newark, California, USA"
Find the second derivative for
Solution:
Consider the given equation above
Since the denominator of the given equation contains a radical sign, then we have to rationalize the denominator in order to eliminate the radical sign as follows
But
Hence, the above equation becomes
Using the Half Angle Formula, the above equation becomes
Take the derivative on both sides of the equation with respect to x, we have
Take the derivative on both sides of the equation again with respect to x, we have
Therefore, the final answer is
Note: You must memorize or remember the trigonometric formulas and identities as much as you can so that it will be easier for you to take the derivative of trigonometric functions and equations.