please show how you obtain the answers, thank you!!!

#10 Determine the equation of the tangent line to the ellipse x 2 - xyty 2 = 7 at the point ( 3,1 ) #1) Using logarithmic differentiation determine the derivative of the function FCX ) = XX # 12 Find the linearization LF ( x ) of the Function F ( x ) = 3+sin(x2-2X) at the point a= 0 #13 the length of a rectangle is increasing at a rate of a cm / min and the width is decreasing at a rate of 5cm/min. Determine the rate at which the perimeter of the rectangle is changing when the length, is 17 in and the widthis 15 in, Is the perimeter increasing or decreasing