Answered: The slope of the tangent line to a…

The slope of the tangent line to a curve at any point (?,?) on the curve is equal to 3x2y2. Find an equation of the curve if it contains the point (2,1).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.3: Lines

Problem 3E

See similar textbooks

Related questions

Q: At what points on the graph of ƒ(x) = x3 + 12x2 + 55x + 14 is the slope of the tangent line 7?

A: We have given function fx=x3+12x2+55x+14 Slope of function at any point given by derivative of…

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

Q: The slope of the tangent line to a curve is given by f'(x) = 7x² + 9x - 8. If the point (0,5) is on…

Q: Find an equation of the tangent line to the curve at the given point. у 3 + 5x2 — х, (1, 5)

Q: The slope of the tangent line to a curve is given by f'(x) = 6x² – 4x + 3. If the point (0, 1) is on…

A: NOTE: Refresh your page if you can't see any equations. . to find the equation of the curve take…

Q: Estimate the slope of the tangent line to each curve at the given point (x,y)

Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 – x2 + 2, (2, 22) y =

A: Given curve and points are: y=3x3-x2+2 , 2,22

Q: What is the value of the slope of the tangent line to the curve X-– 2xy - 2y=1 passing through the…

A: GIVEN CURVE : x2 - 2xy - 2y2 = 1 POINT : ( -3 , -1) TO FIND : SLOPE OF THE TANGENT TO…

Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

Q: Find the slope and equation of the tangent line for the equation 5.x'y – 6y° = 7x² – 35 at (1,2).

Q: If the slope of the tangent line to the curve at the point (– 1, 2) is 4, find a. y=ax^2+3

A: The given curve is y=ax2+3. First derivative of y=ax2+3 is dydx=2ax. At -1, 2, dydx=2a-1=-2a Thus,…

Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 7, (2, 27) y…

A: In

Q: Find the slope of the tangent line to the curve - 2.x? + 3xy + y – 118 - at the point (3, – 4).

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the…

Q: The equation of the tangent line to the curve y at the point (2, 5. written in point-slope form is:

A: find equation of tangent line

Q: Write the equation of the tangent line to the graph of y = x2 at the point where x = 2.5.

A: To find the tangent line to a function at a given point first find the first derivative of the…

Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: We have to find an equation of the tangent line to the curve at the given point.…

Q: Find the slope and the equation of the tangent line to the curve and explain briefly. y = 2x^2 –…

A: The slope of the curve at any point x1,y1 can be calculated by using the formula m=dydxx1,y1 ,…

Q: Find the equation of the tangent line to the graph of x4y16=1 at the point (81,1/3) and at the…

A: We use slope point form to equation of tangent line.

Q: At what points on the graph of ƒ(x) = x3 + 6x2 + 17x + 15 is the slope of the tangent line 5?

A: Given: fx=x3+6x2+17x+15 To Find: The points at which the slope of the tangent line is 5.

Q: Find the equation of the curve at every point of which the tangent line has a slope of (1+y^2)/2xy…

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

Q: The slope of the tangent line to a curve is given byƒ′(x) = 8x2 + 9x - 5.If the point (0, 2) is on…

A: The slope of the tangent line to a curve is given as ƒ′(x) = 8x2 + 9x - 5 We can write the above…

Q: Find an equation of the tangent line to the curve at the given point. y = Sqrt(x) (81,9)

A: Consider the given function:

Q: slope

A: Please refer to the image below

Q: The slope of the tangent line at any point (x, y) on a curve is 2/r. If the point (9, 3) is on the…

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Find the equation of the curve at every point of which, the tangent line has a slope of 2x.

Q: The slope of the tangent line to the curve y=3x^3 at the point (-5,-375) is:? The equation of this…

A: Consider the given: y=3x3Differentiate w.r.t. "x"dydx=9x2Find the slope at…

Q: Determine the equation of the curve at every point of which the tangent line has a slope of 2x.

Q: Find an equation for the tangent line to the curve n = 4- 2 at (-1,3).

Q: Find an equation of the tangent line to the curve at the given point. у %3 4х — Зx?, (2, —4)

A: The objectives to find the equation of tangent line to the curve at the given point.

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

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

Q: Find the equation of the tangent line to the curve at the given point. Illustrate by graphing the…

Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as dy/dx

Q: at the indicated point, find the slope of the tangent to the curve c(x) = 3x^2 - 5 at (3, 22)

Q: For what point on the curve of y = 5x + 6x is the slope of a tangent line equal to - 44? %3! The…

Q: The slope of the tangent line to a curve is given by f'(x) = 2x+ 9x - 5. If the point (0,4) is on…

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the…

Q: Can someone please help me find an equation of the tangent line to the curve at the given point.…

Q: Find an equation of the tangent line to the curve at the point (3, 9). X- 1 y = + 7 X - 2 y =

Q: Find the equation of the tangent line to the curve y = (1 + 2x)² at the point (4, 81). ソ=

A: First find the slope of the tangent line with the help of derivative of the given curve than write…

Q: .. The slope of the tangent line at any point (x, y) on a curve is given by (x + 2)3 + 1. If the…

A: Explanation of the answer is as follows

Q: Find the slope of the tangent line to the curve defined by 2x³ – 7xy + 5y? = 116 at the point (3,…

Q: Find an equation of the tangent line to the curve defined by y=2x2-5x+8 when x=2.

A: Given:

Q: The slope of the tangent line to a curve is given by f'(x) = 4x + 9x - 3. If the point (0,7) is on…

A: Given, f'x=4x2+9x-3(x,y)=0,7

Q: Find the equation of the tangent line at the given point on each curve.: x2y3 = 8; (-1, 2)

Q: Find an equation for the line that goes through the point (0,0) so that the tangent of the angle it…

A: Given, (x1,y1)= (0,0) tangent of the angle it makes with the x-axis=0

Q: 2) Find the slope and the equation of the tangent line to a curve: y = 3x? - 4x + 1 at x = 2.

A: The given curve is y=3x2-4x+1, we have to find slope and the equation of tangent line to the curve…

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4x

A: This is a problem of tangent line equation. Slope of the tangent line is equal to the slope of given…

Question

The slope of the tangent line to a curve at any point (?,?) on the curve is equal to 3x²y². Find an equation of the curve if it contains the point (2,1).

Expert Solution