Find the slope of the tangent line to the curve 2a:2 my 4y3 : 44 at the point (2, 2). Find the slope of the tangent line to the curve 1:1:2 + 1my+ 3y3 = 5 at the point (1,1). Find the slope of the tangent line to the curve 43:2 + 3mg + 43,3 = 272 at the point (4,4). Consider a closed rectangular box with a square base with side 3 and height y. a. Find an equation for the surface area of the rectangular box. S($,y) : 06 b. If the surface area of the rectangular box is 144 square feet, find dy when :1: = 4 feet and y = 7 feet. a: dy 23 : x dzc 4 d6 Find the derivative of f(x) = xe2x. f' (2) = 5 2x 12x e X\fLet f(x) = 3In(2x) f' (20 ) = f'(3) =d Find 4log(x) + 19) daLet 8x - 4 f(ac) = In 7ac + 2 f'(a) =Let f(x) = 5x In x f' (20 ) = f' ( e ? ) =Let f(x) = 6x In(x) + 4 | CO f' (2 ) =If f (x) = 5 cos(4In(x) ), find f'(x). Find f' (5).Let f(x) = -31n(3x) f' (ac ) = f'(3) =Let f(x) = 10 In(x). Then f' (x) is and f' (3) is f" (ac ) is and f"(3) isIf f(x) = 3valn(x), find f'(x). Find f'(2).to to If f ( t ) = In t 8 64 find f'(t). Use exact values. f' (t) :Let f(a) = 23. Use logarithmic differentiation to determine the derivative. f'(2 ) = 3x 3x ( 1 + In(x) ) f'(1) = 3\fy = (6 + cos(x)) Use Logarithmic Differentiation to find dy dy dxLet f(a) = 28(x - 4) 7 (2 2 + 2) 5 Use logarithmic differentiation to determine the derivative. f'(x) =