Question

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

Answer 1

See below in bold.

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.