Derivatives and tangent lines(Sorry for the mess, hope you understand)

5. Find the tangents to the graph of the function f (x)= 2x' +5x2 +x-2! at the intersection points of the graph with the coordinate axes. 6. The tangent to the graph of the function f(x) = ax? +bx +3 at the point with coordinates x=1 intersects the coordinate axes at the points with coordinates (0; 2) and (1; 0). Find a and b. 7. Find the third derivative of the function f ( x ) = - X Vx+3 KNOWNENDENRONRTAND Tip: Use that: f (x) =- x 3 = Vx+3 Vx+3 Vx+3 8. Solve the inequalities f'(x) 50 u f"(x)20 at: a) f(x) =x+3x2 +3x-5 6) f (x) =x4-2x3+2x2 -2x+7 9. A body moves along a straight line with motion function : S(t) = -13 + 312 + 5. Find: (a) the velocity and acceleration functions of the body; b) the initial velocity and the initial acceleration on the body; c) the greatest speed of the body at te [0; 2]. S ( + ) tip : v (t ) s s'it ) alt ) = v' ( + ) = s" ( + )