I need the questions in the attached file solved thoroughly

I need the questions in the attached file solved thoroughly and neatly. Name___________________________________ A = Pert Math 145-201 A = P(1 + r/n)nt Exam #2Find the derivative for problems 1-8. 1)y = 3×5 – 7×2 – 4 x2 . 1)2)y = 3t-4 – 5t-1 2)3)f(x) = (x2 + 2)3 3)4)f(x) = (ln x)4 4)5)y = t7(t3 + 8)5 5)16)f(x) = ln (x9) 6)7)f(x) = 9ex – 6x + 2 7)8)f(x) = 1 + ln ( 5 x4) 8)Find all values of x for the given function where the tangent line is horizontal. 9)f(x) = x (x2 + 1)3 9)10)f(x) = 3×3 – 2×2 – 9 10)2Solve the problem. 11)A publishing company has published a new magazine for young adults. The monthly sales S (in thousands) is given by S(t) = 800t t + 2, where t is the number of months since the first issue was published. Find S(3) and S'(3) and interpret the results.11)Find the equation of the line tangent to the graph of f at the indicated value of x. 12)f(x) = 1 + 3ex; x = 1 12)13)f(x) = 5 ln x; x = 1 13)Provide an appropriate response. 14)Find t to four decimal places. e -0.07t = 0.0514)3Solve the problem. 15)What will the value of an account (to the nearest cent) be after 8 years if $100 is invested at 6.0% interest compounded continuously?15)16)For the problem above, find the value of the account if the interest was compunded quarterly instead of continuously.16)17)How long will it take for $8400 to grow to $14,600 at an interest rate of 9.4% if the interest is compounded continuously? Round the number of years to the nearest hundredth.17)18)How long will it take money to double if it is invested at 5.25%, compounded continuously? Round your answer to the nearest tenth.18)Extra Credit: find the second derivative. 19)y = 8 + 5 x 419)Extra Credit: find the first derivative. 20)y = ln(ln 7x) 20)