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.