tentukan persamaan garis singgung pada kurva f (x) = 5x²+2x-12 sejajar garis y= 7x + 12

y = 7x + 12 => m = 7

f(x) = 5x^2 + 2x - 12
f'(x) = m
10x + 2 = 7
10x = 5
x = 1/2

y = f(1/2) = 5(1/2)^2 + 2(1/2) - 12 = 5/4 + 1 - 12 = 5/4 - 11 = -39/4

Persamaan garis singgung di (1/2, -39/4) dan m = 7
y - y1 = m(x - x1)
y - (-39/4) = 7(x - 1/2)
y + 39/4 = 7x - 7/2 ............. kali 4
4y + 39 = 28x - 14
-28x + 4y + 53 = 0
28x - 4y - 53 = 0