4. The slope of the tangent line to the curve y 4. is: 9 - at the point 9, The equation of this tangent line can be written in the form y = mx + b where: m is: b is:

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.

A: Given: y=x2-x, P4,-2 We know that for any given functiony=fx slopem of tangent at pointx1,y1 is…

Q: 59. Find an equation for the tangent line to the graph of y = xV2x + 3 at the point (3, 9).

A: Given that the function is y = x2x+3 To find the equation of tangent line at point (3,9). To find…

Q: If y = Vx2 + ell-x²), the slope of the tangent line to the graph of y at x = 0 is Answer:

A: Slope of tangent = y'

Q: (a) The curve with equation y 2   = x3 +3 x 2  is called theTschirnhausen cubic. Find an equation of…

A: We find dy/dx at x=1 and y=2  So the slope of the tangent = 9/4

Q: b. If B(x) = /g(x), what is the equation of the tangent line drawn to B(x) when x = 1? %3D

A: b) if B(x)=g(x)we have to find the equation of tangent line drawn to B(x) when x=1   differentiate…

Q: Find an equation for the tangent to the curve at the given point. y = (x^2)+2; (2,6)

A: Given:y=x2+2 (2,6)

Q: 1 The slope of the tangent line to the graph of y = at a = 1, is 3e². %3D e (r + 2) Select one: a.…

A: Given curve: Now,

Q: 1 3 The x value(s) of the points where the tangent lines to the curve ³-4x that have a slope equal…

A:

Q: (a) The curve with equation y 2   = x3 +3 x 2  is called theTschirnhausen cubic. Find an equation of…

A:

Q: Find a.) the slope of the curve at the given point P, and b.) an equation of the tangent line at P.…

A: Find a.) the slope of the curve at the given point P We have given the curve y=x2 – 5 and a point…

Q: 1. Find the slope of the given curve at the indicated point. y= x* – 3x? + 3 at (1,1) 2. Find the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. The slope of the tangent line to a curve at any point (x, y) on the curve is. What is the…

A:

Q: 8) Find the slope of the tangent line to the graph at the given point. (x² – y³)² = 4x²y - 3x -…

A: Consider the equation and the point

Q: 2) Find the equation of the tangent line to the graph of x? + (y – x)3 = 9 at the point x = 1.

A:

Q: The curve y = x /( 1+ x2 ) is called a serpentine. Findan equation of the tangent line to this…

A:

Q: y = x^2+ 1, find an equation of the tangent line to the graph of y at x = 3.

A:

Q: 3. At what point(s) is 9 the slope of the tangent line to the curve y=xr' - 3x'.

A: Given: Curve y=x3-3x2 Slope is 9 The slope of the tangent to the curve is given by dydx.

Q: Consider the following curve. y = 3x2 – 11x + 1 Find the slope m of the tangent line at the point…

A: Given that: Equation of curve is: y=3x2-11x+1        and point on the curve is (4,5)

Q: Find the equation of the tangent line to the curve y= (x-3)°(x+2) at the point (4,36).

A: Given,  The curve   y = x-38x+22   We have to find the equation of the tangent line to the curve at…

Q: The slope of the tangent line to the curve y = 4 at the point ( 3, 4 is: 6. The equation of this…

A:

Q: Find an equation of the tangent line to the curve at the point (3, 11). х — 1 y = X - + 9 ·2 y =

A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask…

Q: [10] At what point on the curve y = e*is the tangent line parallel to the line y = 2x? Give answer…

A: Given curve y=ex   and line y=2x

Q: If y=mx+b is the equation of the tangent line to the graph of y = x - x- 3 and is parallel to the…

A:

Q: 6. Find the equation of the tangent line to the curve r* - a*y" = 12 at the point (-2, 1).

A: the equation of the tangent ( x0, y0 ) to the curve y=f(x) is    y – y0 = f ′(x0)(x – x0)

Q: d two coordinate points at which the tangent line to the curve given by x² – 2x + 4y² = 15 is…

A: if the tangent is vertical then dydx will be ∞x2-2x+4y2=15differentiate 2x-2+8ydydx=04ydydx=1-xsince…

Q: Consider the following curve. 1 + x y = 4 + ex Find y'(x). -ex + 4 (4+ e*)² y'(x) = ot2 1 Find an…

A: According to the problem, we have

Q: #1 Find the equation of the tangent line to y:R @ x- -4 Provide answer in point-slope form dy %3D

A: Differentiate at given point then use equation of line

Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: Consider the following curve. y = 3x2 13x + 1 Find the slope m of the tangent line at the point (5,…

A: We have to find tangent line

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given, y=7-x,   P(-2,3) now find slope of this equation dydx=-127-xat P(-2,3) dydx=-12×3=-16 so…

Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

A:

Q: If h(x) = 3 – 4x°, find h' (1). = 3 – 4x° at the point (1, – 1). The Use this to find the equation…

A:

Q: Consider the following curve. y = 3x2 - 10x + 1 Find the slope m of the tangent line at the point…

A:

Q: 7. Find the slope of the tangent line of the graph of 2ry+ y? = 3.x² – 4 at the point (-1, 1).

A:

Q: 12. Find an equation of the tangent line to the parabola y = x2 – 1 at the point (2 ,3 ).

A:

Q: (c) Find an equation of the tangent line to the graph of x2/3 + y2/3 = 5 at the point (1,8).

A: Given: The equation of the graph is  x23 + y23 = 5 To find: The equation of the tangent line to the…

Q: find y' and the slope of the tangent line to the graph of the equation below at the indicated point.…

A:

Q: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…

A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…

Q: What are the values of m and c if the equation of the tangent line is given by y = mx+ c?

A:

Q: 1. Find the slope of the given curve at the indicated point a. y = x³ – 4x? + 3, at x = 2 b. y =, at…

A:

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x² + y²)² = 25(x² – y?) at the…

A:

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: a) find the slope of curve at point P(1,-3).Find the derivative of the following function.

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point (, 4). 6

A:

Q: Find the equation of a curve passing through 1, if the slope of the tangent to the curve at 4 any…

A: The slope of a tangent line to a curve and point on that curve are given. From these information, we…

Q: Find an equation of the tangent line to the given curve at the specified point: (4) 2 y = x + 1 ' 5

A:

Q: 1. Find the equation of the tangent line to the graph of In(x + y) = 4y² + x*y at the point (2, -1).…

A: Solve the following

Q: Consider the curve given by y2 + (1+x³)³ = xy + 10. Find the equation of the tangent line to the…

A: Considering the curve- y2+1+x33=xy+10 Firstly, find the slope of the curve. dy/dx is the slope of…

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: To find: The slope of the curve and equation of tangent line at point P of the below curves. Given,

Q: If h(x) = 5 – 4x", find h' (2). Use this to find the equation of the tangent line to the curve y…

A:

Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…

A: We will use differentiation and slope of line to solve this.