Answer:
2 miles
Step-by-step explanation:
10.2 (total amount of miles ran) - 2.2(fifth day) = 8m
8=miles ran in total for the first 4 days
8 miles / 4 days = 2 miles per day for the first 4 days
Answer:
(f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)
Step-by-step explanation:
The function f⁻¹(x) is the reflection of the function f(x) across the line y=x. Every point (a, b) that is on the graph of f(x) is reflected to be a point (b, a) on the graph of f⁻¹(x).
Any line with slope m reflected across the line y=x will have slope 1/m. (x and y are interchanged, so m=∆y/∆x becomes ∆x/∆y=1/m) Since f'(x) is the slope of the tangent line at (x, f(x)), 1/f'(x) will be the slope of the tangent line at (f(x), x).
Replacing x with f⁻¹(x) in the above relation, you get ...
... (f⁻¹)'(x) = 1/f'(f⁻¹(x)) will be the slope at (x, f⁻¹(x))
Putting your given values in this relation, you get
... (f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)
Answer:
h'(1)=0
Step-by-step explanation:
We use the definition of the derivative of a quotient:
If 
, then:
Since in our case we want the derivative of 
at the point x = 1, which is indicated by: h'(1), we need to evaluate the previous expression at x = 1, that is:
which, by replacing with the given numerical values:
becomes:
The decimal equivalent of 3/10 is .3
Answer: b=6
Step-by-step explanation: subtract 5b from both side and get 2b-15=-3 then add 15 on both side to get 2b=12 then divide 2 on both side and get b=6.
