(b) Illustrate part (a) by graphing the curve and the tangent line.10. A manufacturer produces bolts of a fabric with a fixed width.The quantityqof this fabric(in yards) that is sold is a function of the selling pricep(in dollars per yard), so we can writeq=f(p). The total revenue earned is thenR(p) =p f(p).(a) What does it mean to say thatf(20) =10, 000 andf0(20) =-350?(b) Assuming the values in part (a), findR0(20)and interpret your answer.11. At what numbers is the following function differentiable?g(x) =2xifx≤0,2x-x2if 0<x<2,2-xifx≥2.Give a formula forg0and sketch the graphs ofgandg0.12. Sketch the parabolasy=x2andy=x2-2x+2. Do you think there is a line that is tangent toboth curves? If so, find its equation. If not, why not?3.3Derivatives of Trigonometric Functions