So in your given pattern, you need to find first the derivatives and observe the patter that occurs in the given functions. So with this kind of pattern, every fourth one is the same; that makes the 114th derivative is the same as the second derivative. It is known since 114/4 has a remainder of two
In order to prove
Let's write both sides in terms of 
only.
Let's start with the left hand side: we can use the formula for sum and subtraction of the sine to write
and
So, their multiplication is
So, the left hand side simplifies to
Now, on with the right hand side. We have
Now simply make this expression one fraction:
And as you can see, the two sides are equal.
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↪Do you have options?
↪ Are we solving for the value of "x"? if so then follow the following steps! (they are short because it isnt more to this problem)
Step 1▶6(x)+2-2(x)+2=?
? = 0
Step 2▶ 4(x) = 0
You would have to divide on your sides of the equation by the number four
▶We have discovered that it has "One Solution" ◀
So, therefore, the value of 'x' is 0 ; x = 0✔
