solve all on paper please

7. Find a cubic polynomial whose graph has horizontal tangents at(-2,5)and (2,3 8. Prove that - (of (x))=of' (x) using the definition of the derivative. 9. Suppose that f and g are differentiable at x. Show that f-g is differentiable at x using the two linearity properties from this section. 10. Use the Product Rule to compute the derivative of fix)=(2x-3). Sketch the function. Find an equation of the tangent line to the curve at x=2. Sketch the tangent line at x= 2. 11. Suppose that f, 9, and h are differentiable functions. Show that (fgh) * = f ( x gl x | h x) +f ( x g ( x) h/x]+f (x)g(x)h' (x) X 3 12. Compute the derivative of x3-5x +10 13. Compute the derivative of x-+5x-3 x -6x +3x2-7x+1 X 14. Compute the derivative of x -625)2 15. Compute the derivative of F X -5)2 x 20 16. Find an equation for the tangent line to fix = x -4 at x=3. (5-x) 17. Find an equation for the tangent line to f(x)= *-2 (x +4x-1 at X=1