Find the slope of the curve y = 2x(x-1)° at point (1,-1). %3D O -1 O 4 O 2 O -2 O 1

Q: Q1: Find an equation for the tangent to the curve at the given point. 1.y=2Vx (1,2) 2.y = (x – 1)2 +…

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Q: 34. Find the slope of the curve x^2 - 3xy y^2 - 4x + 2y + 1 = 0 at the point (1,-1 O 1/5 1/6 O 1/4 O…

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Q: Find the slope of the line tangent to the curve at the given point. y = 7 cos x ; x = 4 C. - 7V2 7V2…

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Q: Find the equation of the line that is tangent to the curve y = 4x cos x at the point (T, -47). The…

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Q: Find an equation for the line tangent to the graph of f(x)=4xe square root of x at the point (a,f…

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

A: Given query is to find the equation of the tangent.

Q: ind the equation of the line tangent to the curve 3x² + 16y² = 192 at the point Mx + K. P= (-4, 3)…

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Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

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Q: Find an equation for the tangent to the curve at the given point. y=x-x2 (2, -2) O y = 5x + 4 O y=…

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Q: Consider the curve in the xy-plane represented by the two equations below. The slope of the line…

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Q: Find the length of the curve y2 = ln x, -1 ≤ y ≤ 1.

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Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: Given, y=2-x3 Point P = (1, 1)

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

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Q: Differentiate implicitly to find Then find the slope of the curve at the given point. x²y - 3x - 4 =…

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Q: Pls help ASAP

A: The objective is to find the slope of the tangent to the curve at the given point.

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: Given : y=1-5x2, P(2,-19)

Q: Find y' and the slope of the tangent line to the graph of (3x-2y)5 = 2y2-9 at the point (1,2). y'=0…

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Q: Find an equation of the line tangent to the curve y = e at (0,1). 2x

A: We need to find the equation of tangent to the curve: y=e2x  at (0, 1) This can be done as follows:

Q: Which is the equation of the tangent line to the curve x +xy = 4+ y² at the point (4,6)? a) y-6=3(x-…

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Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (64, 8)

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Q: 1) Find an equation to the line tangent to y = (x – 3) 2 at x = 0.

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Q: Find the equation of the line that is tangent to the curve y = 6x cos x at the point (T, -6T). The…

A: Given curve is: y=6x cos x. We need to find tangent to y at (π, -6π)

Q: r = -1 + cos 0 0=t/2

A: In the question we have to find the slope of function -…

Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

Q: x²-xy+y²=3, find y"

A: Given that a equation of x and y and we find y" or second derivative of y with respect to x. We know…

Q: Find the slope of the line tangent to the curve at the given point. y = 3 cos x; x = 3 3/2 2

A: 1) Find the first derivative of f(x) 2) Plug x value of the indicated point into f'(x) to find the…

Q: The curve y = sin I has a slope of Select one: O a. at = O b. at z = 0 . O c. Never

A: The slope of a curve at a point is the slope of the tangent to the curve at that point. The slope of…

Q: At the given point, find the line that is tangent to the curve. 5x3y - n cos y = 6t, tangent at (1,…

A: 5x2y-πcosy=6π=ddx(5x2y-πcosy)=ddx(6π)=10xy+5x2y'+πy'siny=0=(5x2+πsiny)y'=-10xy y'=-10xy5x2+πsiny…

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: For x/y + 5x - 7 = (-3/4)y, (1,2), find the equation of the tangent line to the graph of the given…

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Q: The point (2,1) is on the graph of x2 . y3 + 5· x² = y² + 23. Find the slope of the line tangent to…

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Q: The slope of the curve when x=e is y = (In 2x)?

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Q: s) Find the equation of the curve that passes through the point (3, 2) if its slope is giv dy = 8x –…

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Q: Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point. y2 8;…

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

Q: Find an equation for the line tangent to the graph of f(x)=−2xe^x at the point (a,f(a)) for a=2.…

A: Find the derivative for f (x). Find f’(x) at x = 2.

Q: At the given point, find the line that is normal to the curve at the given point. 5x y-n cos y = 6n,…

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Q: (a) Find an equation of the curve that has slope (xy²- x2) dx + (3x²y² + x²y - 2x3 + y?) dy = 0 %3D…

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Q: Ql: Find an equation for the tangent to the curve at the given point. 1.y=2vx (1,2) 2.y = (x - 1)2 +…

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Q: Find the x value of the point on the curve y = 3x + 2 closest to the point (1, 0).

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Q: Find y' and the slope of the tangent line to the graph of (2x-3y)4 = 3y3-8 at the point (2,2). y'=0…

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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 a curve passing through 1, if the slope of the tangent to the curve at 4 any…

A: The slope of a tangent line to a curve and point on that curve are given. From these information, we…

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: Find y' and the slope of the tangent line to the graph of (3x - 4y)7 = 2y2-7 at the point (3,2).…

A: The slope of equation is defined in terms of m=dy/dx

Q: Find an equation of a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

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Q: Find the equation of the line tangent to y = sin(x) going through 4

A: Given, y=sinx                 ...(1) At x=π4 Put x=π4 in equation (1) y=sinπ4y=22 Thus, the pointπ4,…

Q: find the equation of the line tangent to the curve y2+ exy=4 at point (0,2)

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Q: B) Find the slope of the line tangent to the curve y = sin3x at the point where x =

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