Question

Diketahui f''(x) = 4x-5 dengan f'(1) = 8 dan f(6) = -1 tentukan rumus fx

Answer 1

F'x=2x²-5x+c
f'(1)=2(1)²-5(1)+c=8
c=11
f'x=2x²-5x+11
f(x)=2/3x³-5/2x²+c
f(6)=2/3(6)³-5/2(6)²+c=-1
144-90+c=-1
c=-55
f(x)=2/3x³-5/2x²-55