Direction: Find the equation of the tangent line to the function at x=a. 1. у %3D Зх-1 at x = 9 x+2 Vx+2 at x = 3 x+2 2. у 3

Q: Find the equation of the tangent line to the curve x' + y' = 6xy at (3,3). Write the equation in…

A: Given the curve x3+y3=6xy We need to find equation of the tangent line to the given curve at (3,3)…

Q: Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your…

A: We have to tell the slope of the tangents through the graphs. So, for that, we will differentiate…

Q: What is the value of the slope of the tangent line to the curve *2+4xy + y²=13 passing through the…

A:

Q: Find an equation for the tangent line of y = e** that is parallel to the linear equation y 5x11.…

A: Find the equation for the tangent of y=e4x that is parallel  to equation y = 5x+11.

Q: use implicit differentiction to find an equation of the tangent line to the graph of arctan (x+y) =…

A:

Q: Write the tangent line equation. (3) xy =-4 P(2,-2)

A:

Q: find the slope of the tangent to the curve y^2+X^3+4=0 at (-2,2)

A:

Q: Find slope of the tangent line to the elipse x^2/36 + y^2/16=1 at the point (x,y) slope=

A: Given ellipse equation is x236+y216=1 find the slope of the tangent line at the point (x,y)

Q: Find the point of tangency and equation of the tangent line of the following functions given a…

A: First we find slope of the function y=5x2-x dydx=10x-1dydxx=1=10(1)-1dydxx=1=10-1dydxx=1=9 At x=1,…

Q: What is the equation of the Tangent Line to the curve y = 3 x – 4 x ² at (-2, – 22)? 19 x - y = 60…

A: Equation of tangent line

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 81x +…

A:

Q: What is the value of the slope of the tangent line to the curve *2+4xy + y2= 13 passing through the…

A:

Q: 10. Describe a process for finding the slope of the line tangent to the graph of f at (a, f(a)).

A:

Q: What is the value of the slope of the tangent line to the curve x2- 2xy – 2y²=1 passing through the…

A: In this question , we can find the value of the slope of the given curve . Differentiate the given…

Q: Find the equation of the tangent line of the given function at point (-1,3). Give answer in the…

A:

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(2 + y²)° at the point (- 3, - 1) 2.…

A:

Q: Find the equation of the tangent line to y=−6/x^2 at x=−2. Write your answer in slope-intercept…

A: The equation of the curve is y = -6x2 To evaluate: The equation of the tangent line to the given…

Q: 3- write an equation for the tangent line at the given point x² + y? = 4, (/2, vz)

A:

Q: Where is the slope of the tangent line to the function ?(?) = −?^2 + 6? equal to −10 (give the x and…

A: Assuming the function given is  y(x) = - x2 + 6                ......(1)

Q: What is the value of the slope of the tangent line to the curve 2+4.xy + y² = 13 passing through the…

A:

Q: Find an equation of the tangent line to the curve at the given point. у 3 бx2 - х3, (1, 5)…

A:

Q: find the horizontal and vertical tangent lines for the implicitly defined function: x^2/4+y^2=1

A:

Q: 3(x^2+y^2)^2=100(x^2-y^2); (4,2) write the equation for the tangent line

A: Find the equation for the tangent line3(x^2+y^2)^2=100(x^2-y^2)   at  (4,2)

Q: Find the equation of the tangent line to the curve y=8ln(x3 −63) at the point (4,0)

A:

Q: find an equation of the tangent line f(x)=x+(6/x)    points (x,y)= (-6,-7)

A:

Q: Find the equation of the tangent line at the given point on the following curve. x2+y? = 20, (-2,4)…

A:

Q: find the slope of the tangent to the curve y^2 + x^3+4=0 at (-2,2). Then find the slope of the line…

A:

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

A: To find the slope of the tangent to the given function at the indicated point we need to find the…

Q: Find an equation of the tangent line to the curve x + y13 = 5 (an astroid) at the point (8, 1). 2/3

A: We find y' from the given equation using implicit differentiation  To find the slope of the…

Q: Find the equation of the tangent line to the curve y=5sec(x)−10cos(x)at the point (π/3,5). Write…

A:

Q: Determine the point on the curve y 16 a² where the tangent line is horizontal. A (2, 12) (-2, -12)…

A:

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

A: topic - equation of tangent line to curve

Q: Write down an equation of the tangent line to the graph of 2x-3 f(x) = at a= – 1 %3D X+4 y 11 y= 6.…

A: Topic: function and derivatives

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex7 −…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the definition of derivative to find the equation of line tangent to f(x) = through 2 I = 3.

A:

Q: What is the value of the slope of the tangent line to the curve *y+y=5 passing through the point…

A:

Q: Find the equation of the tangent line to y = 20-5æ+3 at x = 4. y =

A:

Q: Use the graph to estimate the slope of the tangent line to y = xn at the given point. Verify your…

A:

Q: Find equations of the two tangent lines to the graph of f(x) = that pass through the point (-1, -3).…

A: Let the point on the curve c,c2 on the curve through which the tangent line passes, As we know that…

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

A: It is slope of tangent line.

Q: What is the value of the slope of the tangent line to the curve x2- 2xy – 2y² = 1 passing through…

A:

Q: A. Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Given  y = 2x² + 4x.        (-2, 0) To find slope & equation of tangent line:

Q: Find an equation of the tangent line to the curve at the given point. x + 1 (6, -7) x - 7 y =y= -8x…

A: y= x+1 / x-7 (6,-7 )  x- y - =13

Q: Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your…

A: It is required to find the slope of tangent line from graph and then verify it analytically.

Q: The equation of the tangent line to the curve x2 + y? = 64, at (5,-13) is. 13 (x – 5) + 13 y = y =…

A:

Q: Find equations of the two tangent lines to the graph of f(x) = x that pass through the point (-1,…

A:

Q: Find the equation of the tangent line to the curve y=xlnx that is parallel to the line Y=1+3x.

A:

Q: Why are both the x-coordinate and the y-coordinate generallyneeded to find the slope of the tangent…

A: In implicit differentiation, the result of derivative of the curve that often contains the dependent…

Q: What is the value of the slope of the tangent line to the curve x2+4xy+y²=13 passing through the…

A: As we know that; The slope of the tangent line to the given curve is equal to the first derivative…