Find the equation of the tangent line to the following curve at the indicated point. at (500, 10). = xy – 2500 -

Q: Find the slope of the tangent line to the curve – 2x? + 4xy + y³ = 8 at the point (4, 2).

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Q: nd the equation of the tangent line to the graph of ƒ(x) = (1+x³)−² at the point

A: Topic:- application of derivatives

Q: Find an equation of the tangent line to the graph of f (x) = ex, where x = -1.

A: To find equation of tangent f(x)=ex at x=-1

Q: Find the equation of the tangent line to the curve (y-2)² = 4x +5 at P(1,5).

A:

Q: y = Vx+3 at x = 1

A: Given curve is y=x+3. To find the equation of the tangent line to given curve at point x=1.…

Q: Find the slope of the tangent to the curve r=−6+5cosθ at the value θ=π/2

A: Given curve is

Q: Find an equation of the tangent line to y = 24ex at x = 2.

A: Our Aim is to find an equation of tangent line to y=24ex at x=2At x1=2, we have y1=24e2Now we find…

Q: Find the slope of the tangent line to the curve defined by 5x^3+7xy−9y^2=−412 at the point (−4,2)

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Q: Find the slope of the tangent line to the curve y =1+x+x´at the point x = a.

A: The curve is y=1+x+x2. Differentiate the function: dydx=1+2x

Q: Find the equation of the tangent(s) to the curve x =

A:

Q: Find the slope of the tangent line for the curve r=3+5cosθ when θ=π/6

A: Concept - If a function f(x) is given then slope of the line tangent to it at x=a is given by -slope…

Q: Find (and simplify) the equation of the tangent line to the graph of y = 24 at x = 1.

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Q: Find an equation of the tangent line to the graph of y = x^3 − 1 at the point where x = 2.

A: To find the equation of the tangent line at x=2.

Q: Find the equation of the tangent line at the given value of x on each curve.  y3 + xy2 - 3 = x +…

A: Given curve: y3+xy2-3=x+5y2 At x=5: ⇒y3+xy2-3=x+5y2⇒y3+5y2-3=5+5y2⇒y3=8⇒y3=23⇒y=2 ∴ The point is…

Q: Find an equation of the tangent line to the curve y 4t at the point (3, 3). t+1

A: Since you have asked multiple questions in single request  so we  will be answering only first…

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

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Q: Find the slope of the tangent line to the curve læ? – læy – 3y: - at the point (– 1, 1).

A: Given curve1x2-1xy-3y2=-1To find :Slope of the curve at point -1,1

Q: Find the slope of the tangent line to the curve below at the point (3, 5). 4x + 4y + 3ry =…

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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: Find the equation of the tangent line to the following curves at a given point. 1.y=5x^2-7  at x=1

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Q: FIND THE SOPE OF THE TANGENT LINE TO 5x) AT THE POINT (x, 9(x)). 2.

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Q: Find the equation of the tangent line to the graph of f (x) = Vx + 169 at the point (0, 13). Answer…

A: We havve to find the equation of the tangent line to the graph off(x) = x+169 at the point (0,13).

Q: Find an equation of the tangent Iine to the ollowing curve at the point (0, 5). xe' + ye* = 5

A:

Q: Find the equation of the tangent line to the graph of f(x) = Vr+ 81 at the point (0, 9). Answer y =

A: Solution:step 1: given f(x) =x+81at point (0,9)now, point 0,9 ⇒ x1=0…

Q: Find the equation of the tangent line at (1,2) for x'+2y = 9 y- A= B(x - C)

A: point (1,2)  ; x3+2y2=9 In the given point x is 1, y is 2

Q: Can you solve this problem and show all of the steps and say the correct letter

A: here the given equation, we have to find the slope of the tangent at point (1, 1).

Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (25, 5)

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Q: Find an equation of the tangent line to the graph of y = x(x + 1) at the point (3, 3072).

A:

Q: Find the equation of the tangent to the following curve at the point where x = 1 y=Vx

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Q: find the equation of the tangent line at the given point x=2cost+3 y=3sint-2 at the point given by…

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Q: find any x-values where the tangent to the curve is horizontal, where y=x^3-6x^2+9x+1

A: The given equation of curve is,

Q: Find an equation of the tangent line to the curve at each given point. x = t2 − 4,    y = t2 − 2t…

A: Find an equation of the tangent line to the curve at the point (0,0).

Q: Find the equation for the tangent line to the given curve at the point where x=x0…

A: Given : y = (x2 + 3x -1)(2-x) and x0=1  To find :  Equation for the tangent line to the given curve…

Q: Find the slope of the tangent line to the graph of yx? + xy = 2 at (1, 1)

A:

Q: Find an equation of the tangent line to the curve xe' +,ye = 5 at the point (0, 5).

A: Topic:- application of derivatives

Q: Find the coordinates of the point in the first quadrant at which the tangent line to curve…

A: Find the coordinates of the point in the first quadrant at which the tangent line to curve…

Q: Find the equation of the tangent line to the following curve at the indicated point. xy = 16 at (1,…

A:

Q: Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: The given problem is to find the tangent line to the curve f(x)=x/(x+4) at the given point (-5,5).…

Q: Find an equation of the tangent line to the curve at the following point. y=(1-2x)^10 , (0,1)

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Q: Find the slope of the tangent line to the given curve at t=-2. Sx=r-1 y=²-28t The slope is

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Q: Find the equation of the tangent line to the following curve at the given point. y = cosh(x) +…

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Q: Find the equation of the tangent to the curve y = x + 5/x at point P(1,3).

A: Slope of Equation of tangent is dy/dx at point P.

Q: Find an equation for the tangent line to the following curve at the point where x = 1.

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the slope of the tangent line to the curve lx? + 3xy + 3y - 25 at the point (- 4, 1).

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Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

A:

Q: Find the equation for the slope of the tangent line to the curve below at any point (x,y). 2x + 5y =…

A: Given, 2x+5y=3y

Q: Find an equation for the tangent line to the following curve, h(x) = 16x – 2 In x at the point where…

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Q: Determine the equation of the tangent line to the graph of y = y2 – x² at the points (분 ) and (블, )

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Q: Find the equation of the tangent line to the graph of f (x)= 3e* +1_where x, = In 2.

A: As a first step we need to find the derivative of f(x) at the given point.

Q: Find an equation of the tangent line to the graph of y = e¯x- at the point ( 5, 25

A: given: y=e-x2; 5,1e25 we know that for finding equation of tangent at point5,1e25, we need to find…