Question

Tentukan nilai a + b, dika diketahui: f(x)= a cot x + bx, f '(π/6) = 5, dan f '(π/4) = 1 pake cara please

Answer 1

F(x) = a cot x + bx
f'(x) = -a cosec² x + b
f'(π/6) = -a cosec² (π/6) + b
5 = -4a + b .... 1

f'(π/4) = -a cosec²(π/4) + b
1 = -2a + b.......2

eliminasi 1 dan 2 didapat
a = -2
b = -3
a  + b = -5

mohon koreksi lagi ...")