Find the point (xo, yo) on the graph of y = x' + 9x² + 6x – 3, at which the slope of the tangent line has its minimum value. (Enter your answer as a coordinate point in the form (*, *).) (xo, yo)

Q: The curve y = ax² + bx + c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A: We have  y=ax2+bx+c        at (2,28)           and               y=4x

Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

A:

Q: 4. Find the point(s) on the curve of y=,x+x+2for which the slope of the tangent line is zero. (5)

A:

Q: Find the line tangent to the curve x + y3 = 4 at the point (3/3, –1).

A:

Q: Find the equation of the tangent line to the curve y= (1+2x)2 at the point (2, 25). y = %3D

A: This question is based on application of Derivative.

Q: Find the slope of the tangent line to the graph at the given point.

A: Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Show that the point (2, 4) lies on the curve x3 + y3 - 9xy = 0. Then find the tangent line and…

A: Given: f(x, y) = x3 + y3 - 9xy = 0 To find:  Equation of tangent and normal to the curve at point…

Q: Find the points on the curve y 2x3+ 3x2- 12x + 9 where the tangent line is horizontal. (x, y)…

A: The above question is answered below

Q: Find distance between point A(1,3) Perpenclicular on the line L: 2y =2 +X

A: Use the following formula: The perpendicular distance from the point A(x1,y1) to the line ax+by+c=0…

Q: 5. Hance sits at one of the points on the curve y = 2x³ -3x²-12x +20 where the tangent is parallel…

A: Please see the below picture for detailed solution.

Q: Find all points (x, y) on the graph of ƒ(x) = 3x2 - 4x with tangent lines parallel to the line y =…

A: Since the tangent is parallel to y = 8x + 5. Hence, the slope of the tangent = slope of the line = 8

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have horizontal tangent line.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find the line tangent to the curve x 3 + y 3 4 at the point (-3/3, –1). V3 y = 3 x – 4 V3 4 - 3 -V3…

A:

Q: I dont know where to start this problem. It would be great to have some help

A: Given:

Q: Find the tangent lines. To the cubic y=x³-2x+3 parallel to the line 10x-y=3

A:

Q: Find the slope of the tangent line to the graph at the given point.

A: Slope:  The slope of a line measures the steepness of the line. The slope is calculated by rise over…

Q: Find the point (xo,yo) on the graph of y = x' + 9x² + 7x – 5, at which the slope of the tangent line…

A:

Q: Find the point (xo, Yo) on the graph of y = x³ + 3x² + 5x – 3, at which the slope of the tangent…

A:

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(z + v²) = 25(z² - y³) at the point…

A:

Q: Find the point (xo, yo) on the graph of y = x + 3x² + 4x – 5, at which the slope of the tangent line…

A:

Q: Find the equation of the tangent line at the given point on curve. x2 + y2 = 25; (-3, 4)

A: Given: x2 + y2 = 25; (-3, 4)

Q: Find the slope of the tangent line to the curve defined by 4x + xy – y = 1760 at the point (8, –4).…

A:

Q: 20. Does the line that is normal to the curve y = x² + 2x - 3 at the point (1, 0) intersect the…

A:

Q: Find the point (x0, yo) on the graph of y = x + 9x² + 8x – 5, at which the slope of the tangent line…

A:

Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have vertical tangent line.

A: This question is taken from the tangent and line in which we have to all points on the graph that…

Q: The slope of the tangent to y = 2 – x2 at the point (1,1) is

A:

Q: Find the slope of the tangent line to the parabola y= 2 +x−x^2 at the point (0,2).

A: Simply take the derivative of the given equation and substitute the given point.

Q: Find the point (xo, yo) on the graph of y = x + 3x2 + 5x – 3, at which the slope of the tangent line…

A:

Q: Find all points on the curve 3x + 6y² = 36 where the tangent line also passes through the point (10,…

A:

Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

A:

Q: Find the point (xo, yo) on the graph of y = x + 9x2 + 3x - 4, at which the slope of the tangent line…

A:

Q: Find the equation of the tangent line at the given point on the curve. 3y-x = 8, (16,2) %3D

A:

Q: Find equations of the tangent line and normal line tothe curve at the given point.   y= x2 - x4 ,…

A: Given, y=x2-x4, 1, 0

Q: Find the equation of a curve in the xy-plane that passes through (1,3) and -6x(2+y) V3 – 3x2 whose…

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: How can we find the slope of the tangent line to the parabola y = x2 at the point?

A: Consider the following equation of parabola: y=x2 Differentiate y with respect to x: dydx=ddxx2=2x

Q: Find an equation of the tangent plane to the surface at the given point. x² + y²5z² = 29, (-3, -5,…

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

Q: Find the tangent and normal line to the curve at the specified condition.  3x3 - x2 - 12x + 6 at…

A: Suppose we wish to find the equation of the tangent tof(x) = 3x3 − x2 - 12x +6 the points where the…

Q: Find the points on the curve y=2x^3 + 3x^2 -12x +3 where the tangent line is horizontal.   (x,y) =…

A:

Q: Find the equation of the tangent line to the common curve of the two surfaces with equations z = x²…

A: Please check step 2 for solution.!

Q: Find Oun equation of the tangent Lime to the curve given by - equation x³_ 3y - xy² = - 3x at point…

A: The tangent is the line that just touches the function at a single point. In this problem, the…

Q: Find the x-coordinates of all points on the curve y = 12x" - 96x° - 168x + 26x + 91 where the…

A:

Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. x²+ y²-4x…

A:

Q: 7. Find the slope of the tangent line at point (-2,2) on the curve flx) = 2x² + 3x. %3D

A:

Q: Find the slope of the tangent line to the curve defined by 9a – 8zy – y* = -18 at the point (-1,…

A:

Q: 5. Find the point on the parabola y=2x-3x+6 where the tangent line is parallel to the line 7x+y=1.

A:

Q: Kappa Curve: x²y² + y* = 2x² %3D

A: We are asked to find the slope of the tangent line at the given point

Q: Find the point (xo, yo) on the graph of y = x' + 9x² + 7x – 5, at which the slope of the tangent…

A:

Q: Find an equation of the tangent plane to the surface at the given point. z = 8 - -x (3, -2, 2)

A: