Answer:
See below in bold.
Step-by-step explanation:
14. f(x) = x^6 e^x
Applying the Product Rule:
f'(x) = x^6 e^x + 6x^5 e^x
= e^x(x^6 + 6x^5).
10. f(x) = x^3 - 4
y = x^3 - 4
x^3 = y + 4
x = ∛(y + 4) so:
f-1(x) = ∛(x + 4). (you are correct.)
30. 3 sinh 2
= 3(e^4 - 1) / 2 e^2
= 10.88058
= 10.881.
