Question

Diketahui f(x) =(x²-3x+5)^4 (2x-3)² . nilai f(1)+f'(1) =...

Answer 1

F(x) = (x²-3x+5)^4 (2x-3)² u = (x²-3x+5)^4<br />u' = 4(x²-3x+5)^3(2x -3)<br />u' = (8x - 12)(x²-3x+5)^3<br />v = (2x-3)² <br />v' = 2(2x-3)(2)<br />v' = 4(2x-3)<br /><br />turunan pertama (f'(x)) :<br />f'(x) = u'.v + u.v'<br />f'(x) = (8x - 12)(x²-3x+5)^3. (2x-3)² + (x²-3x+5)^4. 4(2x-3)<br /><br />f'(1) = (8.1 - 12)(1²-3.1+5)^3. (2.1-3)² + (1²-3.1+5)^4. 4(2.1-3)<br />f'(1) = (-4)(3)^3. (-1)² + (3)^4. 4(-1)<br />f'(1) = (-4)(27). (1) + (81). (-4)<br />f'(1) = -108 + 77<br />f'(1) = -31<br /><br />f(1) = (x²-3x+5)^4 (2x-3)² f(1) = (1²-3.1+5)^4 (2.1-3)²<br />f(1) = (3)^4 (-1)²<br />f(1) = 81.1<br />f(1) = 81<br /><br />nilai f(1)+f'(1) :<br />=81 + (-31)<br />=50<br /><br />