15. lim x→0 2 x _ 3 sinx 3 x X

tan( 2 tan(x/ 13)) = Select one: O 2x ( 169 - x* )/ (2x - 169 ) O 26 x /( 169 + x*) O 2x ( 169 - x* / ( 169 - 2x) O 2x ( 169 - x* ) / 169 O 169 - x* )/( 169 - x*) O ( 2x* - 169 )/ 169 O 2x / 13 O 26 x /( 169 - x² ) O ( 169 - 2x* ) /169 O None

Evaluate * d. [(2? – 1) (x+ 7)] dx 3x^2 + 14x +1 3x^2 14x + 1 3x^2 14x 1 3x^2 + 14x-1

Eliminate the arbitrary constant in y = Cx + c^2 + 1. *

10) Find (ƒ^¹) (-5) if ƒ(x) = x² +3x−1.

6. Theorem X = 83 (9x + 40)

None

Example 4. Differentiate with respect to 'x': 2 Зх + 4 2 X + x + 2

By using equation qx= 2mx/(2+mx) , derive a similar equation for the more general case of an age group of width years (x to x+n years) that is show tha nqx = (2*n* nmx) /(2+n*nmx)

Find f. f"(x)  =x6 - 4x4 +x +1