Question

Please do b,c, and d. please write step by step and write legibly. thank you.

2. Definition of Derivative a) Find the slope of the tangent line to the parabola f(x) = 4x - 32 at the point a using the definition of derivative. b) Find the equation for the tangent line to f(x) = 4.c - zº if f(1) = 3. c) Find the slope of the tangent line to f(x) = (2x2 - 4) at the point a.

Answer 1

frei= 40-7² fina 3 slope & längent m= fm) final = 4-22 .-22 - 4 - 211) - 4-2 =2 a=1 Equation of tangent with slope m=2. and passing through a point (i, fil) it, (1,3) is . . 9-9, = m (ara) Y-3 = 4 (2-1) y=3=42-4 42-y +3-4 20 | 41 -u - = 0 |

© fra) = (2x+- 0) . slope at a point ä is a 20 :: f'()= 3(2x-3). It (227-es) = 3/22?x)? (3 (73) –0] =3 (22-4,5 (02) = 124 (220) fim l = 12016 2?x) = 13a (eat +16=163) : = 480-1922? +192a h (1)=-8 when hala fill =-8 → point is (11-8) slope at this point is thail 464) = (2x?-4)3 f'w) = 1271 272-43 = 480-1920 + 1920 hen =

fires = 12.11 ( 2012-an)? when se=1 =12 (2-4² = 48 1 =12 (-2² = 12(4) slope m= 48 Equation of the tangent time passing through a point (1,-8) is yoy, am (2-a) Y+8 = 45(x-1) Y+8 =488-48 48r-y-8-46=0 | 48x-y-56=0