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: use the given condition to write an equation for the line in slope int form  passing through (4,8)…

A: To write an equation for the line in slope int form  passing through (4,8) and (7,3)

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: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

A:

Q: 2. For each function, identify the parent function and describe how the graph of the function can be…

A: (a) There are different kinds of functions such as linear, quadratic, cubic, reciprocal, modulus,…

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

A:

Q: 9). Find the curve whose slope at any point is 3x – 5 that passes through point (5,3).

A:

Q: 9) Write an equation of the tangent line to the graph of y = 5x2 - 8 at the point where x 0. %3D -3x…

A: Quotient rule of derivative of the function f(x)=u(x)/v(x) is

Q: Which of the following is the equation of the tangent drawn to the graph of the function y=x^3 – 2…

A:

Q: 3. y=x²-25x² + 2x

A: To find the second order and third order derivatives of given function

Q: State the rule that has to be applied first in order to differentiation the function y = -5te2t. a.…

A: We have a function y = -5te2t . Now we need to find which rule needs to be applied first to…

Q: Find the values of m for which the line y=mx-5 is a tangent to the curve y=x^2+3x+4

A: First, we need to understand what the problem is asking. We are given a line equation y=mx-5 and a…

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

A:

Q: Find the set of values of y=2x+k meets the curve y=1+2kx-x² at 2 distinct points?

A: Given: y=2x+kat 2 distinct points

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

Q: Find y in terms of x. dy dx 12x(3x 2 - 1)3, curve passes through (1, -3) A y= (3x 2.1) 4 B y = (3x 2…

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Q: verify by differentiation

A:

Q: Where is the focus of the curve: x^2=-12y

A: Focus of a curve  y=a(x-h)2+k is given by  (h,k+p)where p=14a

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