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1. Find an equation of the tangent line to the curve at the given point. x...
Find the equation of the tangent line to the curve at the given point using implicit differentiation. Remember: equation of a line can be found by y-y1=m(x-x1) where m is the slope of the line and (x1,y1) is any point on the line. Curve: at (1,1)
(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).
Use implicit differentiation to find the equation of the tangent line at the given point. z? + x arctan y = y -2,
1.Determine the equation of the tangent to the curve at x=4 2.Given the curve , find the equations to the tangents at x=5. Include in your solution a labeled sketch of the situation. (Yes, that said tangents! there is more than one solution to this problem!) Personal advice: Think about Implicit differentiation and logarithmic differentiation. Only use Grade 12 Calculus knowledge. All = (3)! (x - 2)2 + (y + 1)2 = 36
2. Find the equation of the tangent line to the curve at the given point. x = 2 - 3 cos , y = 3 + 2 sin a t (-1,3)
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
A wire that is 24 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. Suppose that the side length (in centimeters) of one square is x , as shown below. 24cm x (a) Find a function that gives the total area Ax enclosed by the two squares (in square centimeters) in terms of x . =Ax (b) Find the side length x that minimizes...
Find an equation of the tangent line to the curve at the given point. y = x4 + 5x2 - x, (1,5) y = Show My Work (Requiredi 2
(1 point) Use implicit differentiation to find the slope of the tangent line to the curve defined by 5xy + 7xy = 36 at the point (3,1). The slope of the tangent line to the curve at the given point is
Find an equation for the line tangent to the curve at the point defined by the given value oft. Also, find the value of dy at this point x=++ cost, y = 1 + 2 sin tt-7 Write the equation of the tangent line. y=-x+ (Type exact ahswers, using as needed)