Explanation
We must the tangent line at x = 3 of the function:
The tangent line is given by:
Where:
• m is the slope of the tangent line of f(x) at x = h,
,
• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):
2) By evaluating the result of f'(x) at x = h = 3, we get:
3) The value of k is:
4) Replacing the values of m, h and k in the general equation of the tangent line, we get:
Plotting the function f(x) and the tangent line we verify that our result is correct:
Answer
The equation of the tangent line to f(x) and x = 3 is:
<u>Answer:</u>
The correct answer option is d. 9.
<u>Step-by-step explanation:</u>
We are given an expression 
and we are supposed to simplify it.
We can also write as 
.
We know the power rule 
which means that to raise a power to a power you need to multiply the exponents.
So multiplying the exponents to get:
3 gets cancelled by 3 so we are left with:
Therefore, the correct answer option is d. 9.
Answer:
-5x+13 given (-x+3)-(4x-10)
Answer:-5x+13
Step-by-step explanation:
We are going to distribute to get rid of the ( ):
-x+3-4x+10
Pair up like terms:
-x-4x+3+10
Combine the like terms:
-5x+13
Answer:
720cm^2
Step-by-step explanation:
i dont think this is right answer
