Find the exact value of the slope of the tangent line to the graph of −3x2+xy+4y3=102at the point (2,3).

Q: Find an equation of the tangent line to the curve y = 2x +3 that is parallel to the line 8x y+3 = 0.

A: Find an equation of tangent line to the curve y=2x2+3 that is parallel to the line 8x-y+3=0

Q: What is the slope of the tangent line to the graph of x-xy-4y2 +2x +4y 8 at (4, -2)?

A:

Q: Find an equation of the tangent line at the point indicated. y = π5x- 2 , x = 1

A: To find the equation of tangent to the given curve we need to find the point where the tangent is to…

Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

A:

Q: Find the slope of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

A: We have to Find the slope of the tangent line to the curve   y = x3 + 3x - 8 at (2, 6).   We have…

Q: Find an equation of the tangent line to the curve y=2x^2+3 that is parallel to the line 8x-y+3=0

A:

Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: find the slope of the line tangent to the curve x2=y2+3/2xy at (4,2)

A:

Q: At what point on the curve  y = 6 + 2ex − 3x  is the tangent line parallel to the line  3x − y =…

A:

Q: Find the slope of the tangent line to the curve x² - xy - 2y³ 116 at the point (-2, 4).

A:

Q: Find the equation of the tangent line  x2y-y3 + 6x= 8  at the (3, -2)

A:

Q: What is the slope of the tangent line to the curve 3x^3y^2−2y^3=−4 at the point (1,2)

A: To find the slope of the tangent line we need y' 3x3y2−2y3=−49x2y2+3x3(2y)y' - 6y2y'=0 [product…

Q: Find an equation of the tangent line to the curve  y = x sq root of x  that is parallel to the line…

A:

Q: Find the equation of the tangent line at the given point on the curve 3x+3y2 -9yY 10,3) 2-327x/10,…

A:

Q: Find the slope of the tangent line to the curve 4x2 3xy 2y 168 - at the point (2, 4).

A:

Q: find the slope of the tangent line to the curve X2-4X3y2=-2 at the point (1,1)

A: The given curve is,

Q: Find the equation of the tangent line to y=5x2  at x=0

A:

Q: Find the equation of line tangent of y=x4-2x2+1 at (2,9)

A:

Q: Find the equation of a tangent line to the curve y= 2x3 - 3x2 - 10x +1 which is perpendicular to the…

A: Explanation: Given that,  y=2x3-3x2-10x+1     Concept Used: 1. Slope of the tangent is the first…

Q: Find the slope of the tangent line to the curve -x^2+2xy+2y^3=-10 at the point (-4,-1).

A: Slope of tangent line = dy/dx at the point (-4,-1)

Q: Find all points on the curve y = x3 + 2x2 -6x +5 where is the tangent is parallel to the line 2x + y…

A: The given curve y=x3+2x2-6x+5

Q: At what point on the curve y = 2x²– 3x – 1 is its tangent parallel to the line y = 5x + 2?

A: Given curve is : y=2x2-3x-1 And the given line is : y=5x+2 We need to find the point on the curve at…

Q: Find the slope of the tangent line to the curve defined by 9x^2+7xy-4y^3=432 at the point (-9,3).

A: We have given the curve Here, the equation has to be differentiated implicitly.

Q: Find the slope of the tangent line to the curve -2x^2-3xy-3y^3 = -246 at the point ` ( 3,4 )`.

A:

Q: Find the points on the curve y = 2x3 - 3x2 - 12x + 20 where the tangent line is parallel to the…

A: Given: y = 2x3-3x2-12x+20 Tangent line is parallel to x - axis. To find: The points on the given…

Q: Find an equation of the tangent line to the curve y = 2x ^ 2 + 1 that is parallel to the line 8x -…

A: Given: the curve y=2x2+1 and the line is parallel to 8x-y+3=0 The equation of line tangent to the…

Q: Find the exact value of the slope of the tangent line to the graph of −2x2−3xy+3y3=13at the point…

A:

Q: Find the slope of the line tangent to the graph of x2+2xy2+3y=31 at th epoint (2, -3)

A: To determine the slope of the tangent at the point (2, -3).

Q: Find the equation of the tangent line to 4x2 +y2= 8 at (1,2)

A:

Q: Find the slope of the tangent line to the curve - 3x² – 3xy - 4y³ = 265 at the point (1,4).

A:

Q: Find the slope of the tangent line to the curve - 2x2 + 2xy – 4y³ = 0 at the point (1, – 1). -

A:

Q: Find the slope of the tangent line to the curve defined by 9x2 – 4ry – 4y = 296 at the point (6, 1).…

A:

Q: Find the exact value of the slope of the tangent line to the graph of 3x2+xy−3y3=1 at the point…

A: The slope of the tangent to a curve y=fx at a point x1,y1 is defined by the formula, Slope of the…

Q: 2. Write the equation of the tangent line to the curve y = x3 – 6x at the point (2, –4).

A:

Q: Find an equation of the tangent line to the curve  y = x * sqrt(x)  that is parallel to the line…

A: Given,curve is y = xx that is parallel to the line y= 6+9x

Q: Find an equation of the tangent line to the curve y = 2x ^ 2 + 3 that is parallel to the line 8x - y…

A:

Q: Find the equation of the tangent line to the curve at the point (1,-3) x^2 +2xy-4y^3=103

A: Given :-  curve x2+2xy-4y3=103  To find :-  Equation of tangent line passing through (1,-3) to Given…

Q: Find an equation of the tangent line to the curve y=x(x1/2) that is parallel to the line y=6+3x

A: y=6+3xBy comparing with y=mx+b, m=3Slope of a line parallel to to y=6+3x is  3

Q: Find the equation of the tangent line to the curve y=x4 -14x2+17x+40 and perpendicular to the line x…

A: The equation of given curve is   y=x4-14x2+17x+40  On differentiating with respect to x, we get…

Q: Find the equation of the tangent line to y = 2**-3*+1 at x = 4. y =

A: Given: y=2x2-5x+1 To find: The equation of the tangent line to y=2x2-5x+1 at x=4

Q: What is the slope of the tangent line that touches the graph of In(y) + eA-=3y-4x at the point 3. 5

A:

Q: Find the slope of the tangent line to the curve y = x²+4x+7 at the point (1, ). 7x+2

A: We can find the slope to the tangent to the curve at the given point as below.

Q: Find the slope of the tangent line to the curve y 3x-8x + 7 at the point (-1,2). -3 3. -4 4

A:

Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

A:

Q: Find the slope of the tangent line to 3x*y-6y 2 at (1,2)

A: Given : 3x2y2 - 6y = 2

Q: Find the slope. g the tangent Line to FCQ)= X²-3x+1 When =3

A:

Q: Find the slope of the tangent line to the curve - 4x² - 2xy + 3y³ = | at the point (3, 1). - 33

A:

Q: find the slope to the tangent line x^2e^4x at the point (-1,e^-4)

A:

Q: What is the slope of the tangent line to the graph of x2-xy-4y2+2x+4y=8 at (4,-2)?

A: