Let f(x) = 2x* + 3x° + 10. Find the equation of the line tangent line to the graph of Y point (1, 15). f(x) at the

Q: Apply the Chain Rule to find the tangent line to f(x) = 4/2x – 6e²-*at x = 2

A: The given problem is to find the tangent line to the given function at given point x=2 Given…

Q: Find the equation of the tangent line to the curve t(x) 16 4Vx at x = 4 O y=-2x-4 O y=-2x+4 O y=2x+4…

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Q: Find an equation of the tangent to the curve x = 5 + In t, y = t2 + 2 at the point (5, 3) by two…

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Q: 6. Find the equation of the tangent line to x² + 3xy + y² = 5 at the point (1, –4).

A: Given x2+3xy+y2=5       (1,-4)

Q: Find the equation for the line tangent to g(x) rcos(x) at x = 0

A: Given:The function g(x) = (x cos(x))/(x+2).Obtain the tangent line for the above function at x = 0.

Q: Find the equation of the tangent plane to the graph of g(x, y) = ln(6x² – 3y²) at the point (1, 1).…

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Q: Find the equation of the tangent line on the curve x2 + y2 + 2y=0 at (0, – 2). A y= - 2 B) y= - x…

A: In this question we have to find the equation of the tangent line on the given curve.

Q: The slope of the line tangent to the graph of y = In(x²) at x = e² is %3D

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Q: 3. Find the slope of the tangent line to curve x=2sin2t, y = cos4t when t=-

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Q: Find the equation of the tangent line of f(x) = 8/x+3 at the point (4, 19) . Express your answer in…

A: Find the equation of the tangent line of fx=8x+3 at the pint (4,19).

Q: Find an equation of the line tangent to the curve defined by x + 3xy+ y = 5 at the point (1, 1).

A: Given  Curve ia x3 + 3xy + y2 =5 at the point(1,1) Find equation of tangent.

Q: Find an equation of the tangent line at the given point.…

A: The given function is,x2+sin y=xy2+1 , (1,0)

Q: Find equations of the tangent lines to the curve y = x-1/x+1 that are parallel to the line x − 2y =…

A: Given,        The equations of the tangent lines to the curve y=x-1x+1 that are parallel to the…

Q: Pls help ASAP

A: This question is related to equation of straight line, we will use differentiation to find the…

Q: Find the slope of the tangent line of the function -ey + x2 – y = 15 at the point (4,0)

A: Please note that the slope of tangent to a curve at any point is given by the derivative of the…

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx

Q: define the equation of the tangent line to the curve x^2-3xy+y^2-4x+2y+1=0 at the point (1,-1)

A: Given- The curve is x2-3xy+y2-4x+2y+1=0. To Find- The equation of the tangent line to the above…

Q: The equation of the tangent plane of the graph of function z = xy + 2x² - y3 at point (2, -1) is

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Q: Determine the equation of the tangent to the graph of y = [2~/x - x][1+ /x - x ] at the point (1,…

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Q: Find an equation of the tangent line to the curve at thegiven point.   y = e2x  Cosπ   x, (0. 1)

A: Given: y=e2xcosπx at 0,1 for finding equation of tangent at given we need slope m of tangent at that…

Q: 3) Find the equation of the tangent line to the curve 6y³ – xy² + cos (xy) = 7 - at the point (…

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Q: The slope of the tangent line to the curve y = 4/x at the point (3, 4/3) is: Must be written in y =…

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Q: Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y-2y³ In the…

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Q: Find the equation of the tangent line at the given point on the curve. 2y- Vx 28, (16,4) y=D

A: 2y2-x=28,    16, 4. Slope of the tangent line is the derivative of the given function at the given…

Q: Find the point of intersection of the tangent line to y=sin 2x) at y=0 and the line x+2y=5-

A: Given: y=sin(2x)  and y=0       substituting y=0 in y=sin(2x)then    0=sin(2x)         2x=0…

Q: Find the equation of the tangent line at the given point on the curve. 2y - Vx = 4. (16,2) y =U

A: We need to find equation of tangent line.

Q: Find an equation of the tangent plane to the graph of f(x, y) = In(4x² – 2y2) at the point (1, 1).

A: To Determine: FInd the equation of tangent plane to the graph of…

Q: Determine the equation of the line tangent to x² + sin y = xy² +1 at the point (1,0).

A: The equation x2+siny=xy2+1, we have to determine the line of the tangent at the point (1,0).

Q: Find an equation of the tangent line to the curve at thegiven point.

A: Given: y=2x+1x+2, 1,1 for finding equation of tangent, we need to find slope of tangent  we know…

Q: Find an equation of the line tangent to y = xsin x at the point x = 1.

A: The given equation is y=xsinx.

Q: 3. Find the equation of the tangent to the curve 3xy-y²= 7 at the point (.1).

A: Follow the procedure given below.

Q: 3. Find the equation of tangent line to the curve 2x – y + 3 = 0 x = t – 1, y = t³ + 1 parallel to…

A: Equation of tangent line is given by- y - y1  = m (x - x1)

Q: Determine the equation of the tangent line to the curve x- 2xy = 2y² +1 at the point (1:0).

A:

Q: Find an equation of the tangent line to the curve at thegiven point.

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Q: Find all points (x, y) on the graph of y = x/(x - 2) with tangent lines perpendicular to the line y…

A: Given:

Q: Find the equation of the tangent line on the curve defined by 2xy- y² =1 at x = 1. A y=x-1 B y=1 ©…

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Q: Find the equation of the tangent line at the given value of x on the curve. y+xy² -22=Dx+5y; x= 5

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Q: Find an equation of the tangent line to the curve 2(a2 – y²)² = 25(x² + y²) at %3D (3, 1)

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Q: 2xy - y² + x = 2 at the point (1,2). - Find the equation of the tangent line to ² +2

A: By using equation of tangent line formula, we find the required tangent line.

Q: Find the equation of the tangent line to the curve y3 + 4.xy = 9 at point (2, 1).

A: Recall: Point-slope intercept form :         (y-y1)=m(x-x1); where , m=y'(x) and (x1,y1) be the…

Q: 4. Find the equation of the tangent line to the curve 2xy+r sin y = 27 at the point (1.%).

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Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

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

Q: Find the equation of the tangent line to the curve 2y³ – xy² + cos (xy) = 3 at the point ( 0,1) .

A: Given curve is:  2y3-xy2+cos(xy) = 3 For slope of the tangent, differentiate the curve equation

Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: Find the slope of the line tangent to the curve y = cos2 x at the point(−π/3 , 1/4)

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Q: Find the equation of the line tangent to the curve y=x+cosx at the point (0,1)

A: Given, curve and point

Q: 3 Find the equation of the tangent line to the curve x*y – xy = –2 at the point (-1, –1

A: Given: x4y-xy3=-2 and the points are (-1,-1)

Q: Find the equation of tangent line to curve x= t^(2)-2t and y=t^(2)+2t at the point t=2?

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Q: Find the equation of the tangent line at the given point. 1. y²e* = 3y + x² at (3,0) 2. x*+ y? = 3…

A: 1)y2ex=3y+x2Differentiate w.r.t x2yy'ex+y2ex=3y'+2xSubstitute…