Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 + 49y2 + 896x – 784y + 3136 = 0

Q: Find the equation of the tangent line to the parabola at the given point. x2 = 2y,   (−7, 49/2)

A: The objective is to find the equation of the tangent line to the parabola at the given point.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.

A: Given: fx=x3+2 and3x-y-4=0 To find the equation of the tangent to the graph of f and parallel to the…

Q: Find the equation of the line tangent to the curve y = 3x?(x² – 6x) at x = 2.

A:

Q: Find an equation in the form y = ax? + bx + c whose graph has an x-intercept at x = -1 and a tangent…

A:

Q: Find the slope of the tangent to the curve. (If an answer is undefined, enter UNDEFINED.) x2 + 2xy…

A: Given, x²+2xy+5= 0 Differentiating w.r.t x we have, dx²/dx + d(2xy)/dx +d(5)/dx= 0 2x+ 2y.dx/dx +…

Q: Determine an equation of the line tangent to the curve at the given point. 4x² + 4xy + 3y 51, (3,1)

A:

Q: Find an equation for the tangent to the curve at the given point. 19) f(x) = 10/x - x + 7, (100, 7)…

A:

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given curve:

Q: Answers

A:

Q: Find an equation of the tangent line to the parabola at the given point. y 15 10 x² = 8 y (7, 49/8)…

A:

Q: A coordinate of the point on the curve of y=2x3−3x−6, where the tangent at the point is…

A:

Q: Find an equation of the line tangent to the curve defined by x2 + 6xy + y 32 at the point (2, 2).…

A: v

Q: 98. Find the points on the graph of y = 2x6 – x* - 2 at which the tangent line is horizontal.

A: Find the points on the graph of  y=2x6-x4-2at which the tangent line is horizontal.

Q: Find the equation for the tangent to the curve y= exp 5x] at the f(x) = exp [5x?] The equation for…

A:

Q: Find the coordinates of the points on the curve y = x³ - 6x² + 14x – 12 at which the tangents have a…

A: We will differentiate with respect to x and equate the same to 5 and find the points.

Q: Find the equation of the tangent to the curve  y = -5x2 + 6x +7 at the point (1/2 , 35/4)

A:

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = 4(x - 5), (6,5) ||…

A:

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Slope = dy/dx

Q: At what point on the graph of y = is the tangent line parallel to the line 2x-4y = 3? (B) (5.) m…

A: Given the curve y = x2/2 we need to find the point where the tangent of curve y is parallel to the…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line.…

A: Given equation of a graph is 4x2+y2-8x+4y+4=0 Since we need to find the points where the tangent to…

Q: Find the slope of a line tangent to the curve of the given equation at the given point. y=(x^3)/4;…

A:

Q: O Find the equation of the line tangent to the graph of f(x) = 7x + 3x? – 4x - 8 a %3D

A:

Q: find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: The equation of tangent line passing through the point x1,y1 is y-y1=mx-x1, where m is slope. The…

Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

A:

Q: Find the point(s) on the graph of the following equation that have horizontal or vertical tangent…

A:

Q: Find the equation of the tangent to the graph c

A: This question is taken from the tangent and normal in which we have to find the tangent equation at…

Q: h(x) = -3x° – 5x + 20r + 60r

A:

Q: Determine the equation of the tangent to y = (x – 7)(x+2) at the point P(-1,-8). Answer:

A:

Q: Find the slope and the equation of the tangent line to the graph of the given function at the given…

A:

Q: Find the slope of the tangent to the curve. (If an answer is undefined, enter UNDEFINED.) x² + 2xy +…

A: calculate w.r.t x

Q: find an equation of the tangent line to the graph of the given point. f(×)= √x(x-8), (16,32)

A:

Q: Find an equation of the line tangent to each of the following curves at the given point. 4x 11, 12 y…

A: The given equation of curve is y=4xx2+3                  ……(1) Now differentiate the equation (1)…

Q: Find an equation for the tangent to the curve at the given point. y = x2 - 4, (2,0) О А. у32х- 8 В.…

A:

Q: Find an equation for the tangent to the curve at the given point. Then sketch the curve and the…

A: topic - equation of a tangent line

Q: Find the equation of a tangent line to the graph of the function g(x)=2x−x2g(x)=2x−x2 that is…

A:

Q: Find the point (s) on the graph of the following equation that have horizontal or vertical tangent…

A:

Q: Consider the following equation and point. f(x) = 3x2 – 6, (-1, -3) Find an equation of the tangent…

A:

Q: If f(x) = 4x? – 9x + 5, find the equation of the line tangent at x 2. Preview

A: Given that, The equation of curve is following, y = 4x2 - 9x + 5 we have to find the equation of…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 25x2 +…

A: 16y2+200x-160y+400=0 Differentiating with respect to x implicitly 50x+32ydydx+200-160dydx+0=0…

Q: Which of the following is/are points on the curve y = x4- 8x3 + 22x2 - 24x + 9 where the tangent…

A:

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…

A: Solution of given question is written in below steps.

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

A: We have to find equation of tangent line to the graph of function: x+22+y-32=37 at -1, 9 We know…

Q: Determine the equation of the tangent to the graph of the equation xy – 2x'y-3ry + 5y – 4 = 0 at the…

A: To find the equation of tangent to the given equation at (1,2).

Q: Find the equation of a tangent line that is tangent to the graph as stated below 3x 5y = -17 at (-1…

A:

Q: Find the equation of the tangent line at the point (a,f(a)). Sketch the graph and the tangent line…

A: To find the equation of the tangent line at the point (a,f(a)).

Q: The equation of a curve is given by f(x) = (6x² − 7) (2x + 6). What is the slope of the tangent line…

A: The slope of tangent line on a curve f(x) that touches the curve at x = c is m = f'(c).

Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch…

A: The equation of the function is f(x)=8x2+4. The standard equation of a line passing through a point…

Q: a. Find an equation for the line perpendicular to the tangent to the curve y = x' - 9x + 4 at the…

A:

Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = 0 and B'(24) = -…

A: Given,         y=Bx at x=24 if B24=0 and B'24=-14.

Q: find an equation for the tangent line to the curve atthe given point. Then sketch the curve and…

A: