Question

Calculus. Only need answer yo question number 30,14,10 pleassse

Answer 1

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.