For which value(s) of a does the curve y=x²+ax+2 have a horizontal tangent line at x=1? Show your work. Do not use any differentiation rules!

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Find the equation of the tangent line to the curve f(x)= at the point (1, 1+x² -).

A: The equation of the tangent line: - The formula y – y1 = m (x – x1) can be used to find the equation…

Q: What is the equation of the tangent line of f(x) = In(2x – 3) at the point x = 2?

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

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Q: 3. Determine the slope of the tangent line to the curve f(x) = at (2x + 1)2 x = 1 by using the…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by 3xy + xy:…

A: Given function3xy3+xy=26differentiate wih respective…

Q: Find an equation of the tangent line to f(x) = 3x +5 at the point (1, 8).

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Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

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Q: Find the slope of the tangent line to the curve of y = x 2 at the point where x = −6

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the equation of the tangent line to f(x) =1 – x² at (1,0). -

A: here we use formula  y-y1=m(x-x1) at point (1,0)

Q: Find an equation of the tangent line to the curve at thegiven point  y = ln ( x 2- 3x + 1 )       ,…

A: Given,y = ln (x2-3x+1)slope of tangent line is equal to the first derivative of curve at given point

Q: Find the equation of the tangent line to the curve at the given point using implicit…

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: First find the derivative at given point then write the equation of tangent line in slope point…

Q: Where on the interval [0, 4] does ƒ(x) = 4x - x2 have a horizontal tangent line?

A: Determine the value for derivative of f(x) i.e f'(x). fx=4x−x2f'x=ddx4x−x2=ddx4x−ddxx2=4×ddxx−2xSo,…

Q: 3. Find the equation of the tangent line to the curve f (x)= (1+2x)'" at the point (0,1) in…

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Q: What is the equation of the tangent line to the curve y= In(x“ + 1) at x=1?

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Q: Find the tangent equation to the curve y = sin² x at point x = 3.

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Q: f (z) = sin (3,/7) at the point 72,0)

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Q: Find an equation of the tangent line to f(x) = x° – 2x +1 at the point (0, 1).

A: The given function is: f(x)=x3-2x+1

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Given that: x2+y2=4x2+2y2-x2

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Implicit differentiation – When we differentiate any given implicit function by taking derivative of…

Q: use implicit differentiation to find out the slop of the tangent line to the curve at the point…

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Q: Find the equation of the tangent line to the curve f(x)= 1/(3x-1) at x=1

A: Given f(x)=13x-1Let y=f(x)Slope of tangent line to the curve f(x) at x=1 can be done by using…

Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

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Q: Determine equation of tangent line to the curve at given point. a) f (x)= 3x² - 5x +2 at x = -3 %3D

A: Equation of straight line is given by y = mx + c ; where m is the slope c is the y intercept. For…

Q: Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at…

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Q: Use mplicit differentiation to find the slope 6 the tangent line to the gwer curve at the point…

A: Topic -slope of tangent using implicit differentiation

Q: Find the equation of the tangent line to the curve y = 4r- 3r through the point r= 2 using the…

A: Given curvey=4x-3x2

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

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Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

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Q: Find the equation of the tangent line of f(x)=x−(1/x) at x =1.

A: Given function is fx=x-1x Above function can be written as y=x-1x. At x=1, y=1-11=1-1=0 So, given…

Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

Q: b) Use the method of Differentiation from first principle to prove that the derivative of the square…

A: Consider the provided information, ddxx=12x Prove that left hand side is equal to right hand side.…

Q: Find the equation of the tangent line on the curve f(x) = V5x + 6 at x = 2.

A: Proceed as shown below...

Q: Find the slope of the tangent line to f(x)=(8x-6)cos(x) at x=0.

A: The given function is: fx=8x-6cosx To find the slope of the tangent line at x=0.

Q: Find the equation of the tangent line to the function f(x)=2x2-x  at the point where x=−1. Give your…

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Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by 2xy9+xy =…

A: We have to find slope of tangent line using implicit differentiation of the curve 2xy9+xy=6 at the…

Q: f(x) = ln(x − 1) at x = 2

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Q: Find an equation of the tangent line to the curve y = 2x sinx at the point (π/2,π)…

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Q: Use the definition of the derivative to prove that (vx +1) = tangent to the graph of y = vx + 1 at x…

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Q: find the equation of the tangent line to the curve y=x 'square root of' x at the point (1,1).

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Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0).…

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

Q: Find the equation of the tangent line to the graph of the function f(x) = sin ( 11 √x ) at the point…

A: The function is fx=sin11x. Find the slope of the tangent line at π2,0 by taking the derivative of…

Q: 4. Use implicit differentiation to find the equation of the tangent line of the following functions…

A: To find the equation of the tangent line of the function 2x2-3y-3=2y4 at 2,1

Q: Find the equation of the tangent line to the curve f(x) = x³ln (x + 1) at the point (0, 0).

A: The given curve is: f(x)=x3 ln(x+1)

Q: Determine the equation of the tangent line to f(x) = x3 - x, at x = 1

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Q: Find the equation of the tangent line to f(x)=-2sin(x) at x=0

A: We have to find the equation of tangent line