Question

Find the equation of the line tangent to y = 2x2 - x + 4 at x = 3.

Answer 1

Answer:

this question answer is 1

Answer 2

y=11x-14

Explanation:

So we first need to find the derrivate f'(x) which is found by doing 2(2)x-1, f'(x) = 4x-1. Now f(3)=2(3)²-3+4= 19. Which means y1 is 19 when x1 is 3. f'(x)=4×3-1=11. The slope is 11. Since the equation of the tangent line formula is y-y1=m(x-x1) we substitute with our values and get y-19=11(x-3) which results into y-19=11x-33 and can be simplified into y=11x-14.