Using the power rule, the derivatives are given as follows:
a) .
b) .
Suppose we have a power function given by:
The derivative of the function is given by:
Item a:
The function is:
Then the derivative is:
When x = 2, the derivative is:
Item b:
The function is:
Then the derivative is:
When x = 3, the derivative is:
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Consider the equation:
Subtracting '4' from both the sides of the equation, we get as
Squaring on both the sides of the equation, we get
Subtracting '2' from both the sides of the equation, we get
x=14
Since, An extraneous solution is a solution that arises from the solving process that is not really a solution at all. But, in this equation x=14 is the solution of the given equation.
Hence, it is not an extraneous solution.
Answer:
Slope: 2
Step-by-step explanation:
Taking any two points on the slope: (0,1) & (1,3)
where (0,1) is (x1,y1) and (1,3) is (x2,y2)
Substituting into the slope formula as below:
= (3-1)/(1-0)
= 2/1
= 2
Hence, the slope is 2
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