Answer:
0
Step-by-step explanation:
first you will need to know the negative angle identities, which show that cot(-x)=-cot(x), you can then simplify that to -(cos/sin) so when you multiply by sin(x), or sin(x)/1, the sines cancel out and you are left with -(cos(x)/1)*(1/1) so your equation is now -cos(x)=-cos(x), so when you add the cosines over, you get zero
Answer:
The average rate of change for f(x) from x=−1 to x = 4 is, 1
Step-by-step explanation:
Average rate A(x) of change for a function f(x) over [a, b] is given by:
As per the statement:
we have to find the average rate of change from x = -1 to x = 4
At x = -1
and
at x = 4
Substitute these in [1] we have;
⇒
⇒
Simplify:
A(x) = 1
Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1
Answer:
The difference quotient for is
.
Step-by-step explanation:
The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by
So, for the function the difference quotient is:
To find , plug
instead of
Finally,
The difference quotient for is
.