Suppose that a curve is given by the equation  x3−y3= 40xy which defines  y  as function(s) of  x Find an expression for  dy/dx  in terms of  x  and  y   A) dy/dx = 3x2/ 40x+3y2 B) dy/dx = x2-y/ x+y2 C) dy/dx = 3x2 - 40y / 40x + 3y2

Q: There are two tangent lines to the curve y %3D x+ 1 that are parallel to the line x - 2y = 2. Find…

A: We first find dy/dx suing quotient rule

Q: If y is a differentiate function of x, then the slope of the curve of; xy^2-2y+4y^3=6 At what…

A: given that y is a differentiate function of x then we have to find the slope of the given curve at…

Q: Find the points at which the graph of this equations has vertical or horizontal tangent lines:…

A:

Q: 19. Which of the following illustrative equations will give a slope 10 of the tangent line to its…

A: A)y=2x2-2x at (2,3)Differentiate…

Q: Find the number of stationary points for the graph of y=1/2x^4−2x^3−4x^2+11.

A: The objective of this question is to find the number of stationary points for the given function y =…

Q: IF THE CURVE OF THE FUNCTION F (X) = Y PASSES THROUGH THE TWO POINTS (2,2) AND (1, K) AND SATISFIES…

A: We have to solve given problem:

Q: 1 - Sketch the curve : y=-(x3– 6x²+9x+6). 6 y=Lcx³-

A:

Q: Determine the equation of the tangent to the graph of y = [2~/x - x][1+ /x - x ] at the point (1,…

A:

Q: If the point (6, -1) is reflected over line y = 2 then dilated by 2, what would the new points be?

A:

Q: 4. Which graphs of ƒ may have a point of inflection? State the coordinates of each point a) ƒ''(-4)…

A: For a function f, if its second derivative f″(x) exists at x0 and x0 is an inflection point for f,…

Q: 5) What is the equation of the line tangent to y = 2x³ + 3x - 1 atx=0?

A:

Q: Determine the equation of the tangent to the graph of y- x - 3x + x+3 at the point (- 1, -2). O a)…

A: We have to find the tangent of the given function at point (-1,-2).

Q: End the Vellue of g) if the slope of the Curve y= x-2x is (2)?

A:

Q: SLOPE FORMULA" form. y

A:

Q: 5 Find the equation of line tangent the circle x+y = 25 at point (3, -4). .2 %3D

A:

Q: 6. Two graphs touch at a point if both pass through the point and have the same tangent line there.…

A: To show that the given graphs touch at their intersection point

Q: Find the equations of the curve for which y" = 6x2  and which passes through the points (0,2) and…

A: We have to find equation of curve, With differential equation y" = 6x2  which passes through the…