Category: Differential Calculus, Algebra
"Published in Newark, California, USA"
Find y' for
Solution:
Consider the given equation above
Since the given equation is a product of two binomials, then we have to get the derivative of the given equation using the derivative by product formula as follows
Therefore, the answer is
Category: Differential Calculus, Algebra
"Published in Newark, California, USA"
Find y' for
Solution:
Consider the given equation above
There are two ways in getting the derivative of the given equation. First, you can get the product of two functions first by applying the distributive property of multiplication over addition and then apply the derivative by power formula. Let's get the derivative of the given equation as follows
You can also get the derivative of the given equation by product formula as follows
Note: The derivative of any constant is always equal to zero.
Category: Trigonometry
"Published in Suisun City, California, USA"
Prove that
Solution:
Consider the given equation above
In
proving the trigonometric identities, we have to choose the more
complicated part which is the left side of the equation. We have to use
the principles of simplifying trigonometric functions as much as we can
until we get the same equation as the right side of the equation. Let's
rewrite the rational and reciprocal functions into its equivalent
function as follows
but
Hence, the above equation becomes
Therefore,
