Examine the first two steps for solving this equation. 3x - 6(5x + 3) = 9x + 6 1. Distribute: 3x - 30x - 18 = 9x + 6 2. Combine
2 answers:
The Coefficient of variable term x after making it isolated would be -36
Step-by-step explanation:
We have to solve the equation in order to get the coefficient of x at the end after isolation.
Given
Distribute
Combine like terms:
subtracting 9x from both sides
We can clearly see that the coefficient of x at the end after it has been isolated is -36
Hence,
The Coefficient of variable term x after making it isolated would be -36
Keywords: Linear Equation, Variable
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To find the derivative of this function, there is a property that we should know called the Constant Multiple Rule, which says:
(where
is a constant)
Remember that the derivative of is
. However, you may notice that we are finding the derivative of
, not
. So, we are going to have to use the chain rule. To complete the chain rule for the derivative of a trigonometric function (in layman's terms) is basically the following: First, complete the derivative of the trig function as you would if what was inside the trig function is
. Then, take the derivative of what's inside of the trig function and multiply it by what you found in the first step.
Let's apply that to our problem. Right now, I am not going to worry about the at the front of the equation, since we can just multiply it back in at the end of our problem. So, let's examine
. We see that what's inside the trig function is
, which has a derivative of 2. Thus, let's first find the derivative of
as if
was just
and then multiply it by 2.
The derivative of would first be
. Multiplying it by 2, we get our derivative of
. However, don't forget to multiply it by the
that we removed near the beginning. This gives us our final derivative of
.
Remember that we now have to find the derivative at the given point. To do this, simply "plug in" the point into the derivative using the x-coordinate. This is shown below:
Our final answer is 0.