Find an equation for the line tangent to the graph of the given function at the indicated point. X3 27 4 4 9) f(x) = at (-3,- Find f(x). X-9 10) f(x) = Differentiate. 11) g(x) = (x-5 + 3)(x-3 + 5) x2-3x + 2 x7-2 12) y = Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. 13) f(x) = (-3x2.5x + 2)(-2x + 5), x = 0 14) A men's suit manufacturer finds that the cost, in dollars, of producing x suits is given by C(x) = 867 + 131x. Find the rate at which the average cost is changing when 500 suits have been produced. Round the answer to four decimal places. Differentiate. (2x2 - 3) (1 + 4x335 15) f(x) = 22001 + 16) $2200 is deposited in an account with an interest rate of r% per year, compounded monthly. At the end of 8 196 A= 1200 years, the balance in the account is given by Find the rate of change of A with r=4. respect to r when Round answer to the nearest hundredth, if necessary. Differentiate. 17) y = 5x2e3x 7ex 2eX + 1 18) y = Write an equivalent exponential equation. 1 log6 36 19) = -2 Write an equivalent logarithmic equation. 81/3 20) = 2 Find the derivative.