Given that

f(x)=x^8h(x)

h(−1)=5

h�Œ(−1)=8


Calculate f�Œ(−1).

To calculate f�Œ(−1), we need to substitute the value of −1 into the function f(x) = x^8h(x) and evaluate it.

First, let's find the value of h(−1) by substituting −1 into the function h(x):

h(−1) = 5 (as given)

Now, let's find the value of h�Œ(−1) by substituting −1 into the function h�Œ(x):

h�Œ(−1) = 8 (as given)

Next, substitute the values h(−1) = 5 and h�Œ(−1) = 8 into the function f(x) = x^8h(x):

f(x) = x^8h(x)

f(−1) = (−1)^8h(−1)

Since any number raised to an even exponent gives a positive result, we have:

f(−1) = 1*5

Therefore, f�Œ(−1) = 5.