Find the equation of the normal line to the hyperbola x^2 − 2y^2 = 1 at the point (− 3,2) . (Use implicit differentiation).
Find the equation of the normal line to the hyperbola x^2 − 2y^2 = 1 at...
3.1 Let ex?y= 3x – 2y. (a) Find out using implicit differentiation. (b) Find the equation of tangent line to the curve eix?y2 = 3x – 2y at the point (0, -1/2).
(1 point) Use implicit differentiation to find an equation of the tangent line to the curve 2xy3+xy=302xy3+xy=30 at the point (10,1)(10,1). (1 point) Use implicit differentiation to find an equation of the tangent line to the curve 2xy3 + xy = 30 at the point (10, 1). The equation -3/70 defines the tangent line to the curve at the point (10, 1).
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
no calculator can be used 12. Use implicit differentiation to find the equation of the tangent line to the hyperbola x2 - y2 = 20 at the point (6, 4).
2. Given f(x) = V23 - 100x + 1, find the equation of the line tangent to f-'(x) at the point (23, 12). No approximations. 3. Consider the graph of all points (x,y) that satisfy sin(y) - 4cos(x) = In (x² + y2). do b dy dx in terms of both x and y. Using implicit differentiation, solve for
Use implicit differentiation to find an equation of the tangent line to the graph of the equation at the given point. x2 + x arctan y = y -
Use implicit differentiation to find the equation of the tangent line at the given point. z? + x arctan y = y -2,
1. Find an equation of the tangent line to the curve at the given point. x = ++ +1, y=+*+t at the point (2,-2). 2. Find y" by implicit differentiation. (note that a is a constant) x² + y² = a² 3. A piece of wire 12 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total...
please answer both parts of question 5 5. Consider the equation x2 + 3x + 2y = 6 a) (10 points) Use implicit differentiation to find dy dx b) 6 points) Find an equation for the tangent line to the curve described by the equation in part a) at the point (-1,2).
Use implicit differentiation to find the slope of the normal line of 4x2 + y2 = 8 at (1, 2).