# 3, 8, 11) Find dy/dx by implicit differentiation. # 3. 23 +xy + 4y =6 # 8. 1+ x = sin(xy?) # 11. ev =x-y # 13) If f(x) + x? [f(x)]3 = 10 and f(1) = 2, find f'(1). # 15) Use implicit differentiation to find an equation of the tangent line to the curve ' + ry + y = 3 at the point (1, 1). 29, 30, 31) Find the derivative of the function. Simplify where possible. # 29. y = tan -'(VI) # 30. y = vtan (x) # 31. y = sin '(2x + 1) # 35. y = arcsin(tan0) OR y = sin 1(tan0). 3.7 Derivatives of Logarithmic Functions: # 2,3,4,7, 10,11,15,18) Differentiate the function: #2 f(x) = In(22 +1) #3 f(0) = In(cos#) #4 f(x) = cos(In z) #7 f(x) = log2(1 - 3x) #10 f(t) = 1-Int