Determine the equation of the tangent line of the given func f(x) = 3x² + 1; (-2,13) Оу-12х+11 y = -12x-11 O y = -12x+11

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

A: Given, y2ex2-16-xy-1=2Point=4, 2

Q: Find the equation of the tangent line to the curve at the point (-1,-3) x³y² = - 2xy-3

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Q: Find the equation of the tangent line to the graph of x4 y2 = 144 at the point (2, 3) and at the…

A: Equation of the tangent line to the graph of x4y2=144 at the point (2, 3) Now, differentiate the…

Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: Find the equaiton of the tangent line for the function f(x)=x+3/x-3 at the point (4,7).

A: We find f'(x) using the quotient rule.

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

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Q: Find the slope of the tangent line of f(x)=10x2-3 at x=-2.

A: Given f(x)=10x2-3and x=-2

Q: Find an equation of the tangent line to the curve at the given point. y = 3x2 - 12x + 1, (5, 16)

A: Solve by eq

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

A: To find the equation of the tangent line to the curve y=x3+3x-8 at (2,6). Solution: We know, The…

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

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Q: Find equation of tangent y=x³-4x+1 at point (2,1)

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Q: The equation of the tangent line to the graph of f(x) = 2x3 − x2 at the point (-1,-3) is

A: We have to find the equation of tangent of the given graph at (-1,-3), we know that slope of the…

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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Q: Find the slope of the tangent line to the curve - 4x² + 4xy - 1y³ = - 148 at the point (3, 4).

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

A: We know that the equation of tangent line to the curve y=fxat a point x1,y1 and having slope m at…

Q: Find an equation of the tangent to the curve f(x) = 2x2 - 2x + 1 that has slope 2.

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Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: Find the equation of the tangent line.

A: Consider the given equation of curve:

Q: Find equation of tangent line y=-6-2x - 3x² at (1,-11)

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Q: find the equation of the tangent line to the curve  8x2y3-5x2+7y3 = 10(x-3y) , at point (2,-2)

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Q: Find the equation of the tangent line to the graph of x4y16=1 at the point (81,1/3) and at the…

A: We use slope point form to equation of tangent line.

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: What is the slope of the tangent line to the graph of f(x) =x² - 6x +2 at the point (3, -7)?

A: Given- fx=x2-6x+2 To Find- The slope of the tangent line at the point 3,-7.

Q: Find the slope of the tangent line to the curve - 4x2 - 4xy + 3y³ = 204 at the point (- 3, 4). |

A: Basic application of derivative problem

Q: Find an equation of the tangent line to the curve at thegiven point. y= 4x  - 3x2 ,    (2 ,-4)

A: we have to find an equation of the tangent line to the curve y=4x-3x2 at the point (2-4). as we know…

Q: Find an equation of the tangent line to the graph of f at the given point.

A: The equation of the tangent line to the graph of f at a given point x0,y0 is y-y0=f'(x0,y0)x-x0…

Q: Find an equation of the tangent line to the graph of f(x)=x^2+3x-7 at the point (1,-3)

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Q: Find the equation of the tangent line to the graph of x3 -xlny+y3=2x+5 at the point where x=2

A: x3 -xlny+y3=2x+5 To find out the equation of tangent line , we need to find out slope  Slope is the…

Q: Find the slope of the tangent line to the curve y2+x2 = y4-2x at point (-2,1)

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Q: Find the equation of the tangent and normal line of the function f(x)=√2x-1 at the point (5,3)

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Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

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Q: Find the equation of the tangent line to the curve y = xV13 – x² at the point (2,6).

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Q: Find an equation of the tangent line to the graph of the function f(x) = x2 + 3x +5 at point (-4,…

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

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Q: Find an equation of the tangent line to the curve at the given point y = 2x3 - x2 + 5, (2, 17) y =

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Q: Find the equation of the tangent line to the graph of f(x) = x² – 4 at the point (3, 5). -

A: The equation of the line passing through the point (x1,y1) having slope m is given as (y-y1)…

Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

A:

Q: 7. Find the slope of the tangent line to the graph at (1,1): x2y? - 9x2-4y2 = 0 x-9-4-0 (-4, 2/3)…

A: x2y2−9x2−4y2=0 Use implicit differentiation to find the slope of x2y2−9x2−4y2=0 Implicit…

Q: find tangent line to the curve y=3x/7-x at a point of (-3,2/7)

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Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

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Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

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Q: Find the equation of the tangent line to the curve y = 4x − 3x 2 at the point (2, -4)

A: The equation of the curve is y = 4x − 3x2 The coordinates of the point of contact is 2, -4

Q: Find an equation of the tangent line to the graph of y = 2x² + 3 that is parallel to the line 8x - y…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x2 - 6x + 1, (4, 9) y =

A: First find slope at given value then equation of tangent line

Q: calculate the slope of the tangent line to the curve 3x3y2-2y3=-4 at the point (1,2)

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Q: Find an equation of the tangent line to the graph of y = x³ - 3x - 1 at the point (2, 1).

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

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Q: Find the equation of the line that is perpendicular to the tangent line to f(x) = x4+1 at x = 2 and…

A: Answer and explanation is given below

Q: What is the equation of the tangent line of y=4(x^3)-7(x^2) at the point x=3

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