Provide an appropriate response.(2 points) Evaluate dy and y for y=x2-7x+5,x=4, and dx=x=0.25.Hint: y=f(x+x)-f(x) and dy=f'(x)dxWRITE YOUR ANSWER ON THE ANSWER PAGE. Answers on this page will not be graded.Find the equation of the tangent line.(3 points) For f(x)=4x2, the rate of change atx=16is known tobe12. Give the equation of the tangentline toy=f(x)atx=16.WRITE YOUR ANSWER ON THE ANSWER PAGE. Answers on this page will not be graded.SHORT ANSWER. SHOW ALL WORK necessary for each problem and write your final answer in theblank ifitis provided; however, if you need more room to work, please be sure to note below the problemwhere the rest of your work can be found and CLEARLY label your work on the scratch paper with thequestion's number. SHOW ALL WORK! NO WORK =NO CREDIT!Evaluate the limit,ifit exists. SHOW ALL WORK! NO WORK =NO CREDIT!(3 points) Find limx2f(x)of the given piecewise-defined function. Write DNE if the limit does not exist.f(x)={9x+1,x<22x+15,x2Find f'(x).(4 points)f(x)=3lnx-8ex+2xe+4x4