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

Q: find the equation of the tangent line to the curve f(x) = 2x°+3x² - 5x+3 at the point x = -1

A: Explanation of the solution is given below...

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 curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

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Q: Determine the equation of the tangent line to the curve y = (2x2 - 3x)3 at x = 2.

A: To find the equation of the tangent line

Q: Find an equation of the tangent line to the curve x2y² – 2x = 9-y at the point (-2, 1)

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Q: Find the equation of the tangent line to the curve f(x)= x2 +5x when x=1.

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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: 4. x-y = 2 at (2, 2)

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Q: Find the slope of the tangent line to the curve x² + 3xy + 3y³ = − 101 at the point (4, -3).

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Q: Find the equation of the tangent line to the curve y x at the point 1, 4

A: We can find the equation of tangent line to the curve as below

Q: Find the equation of the tangent line to the curve f(x) = x* - 9x2 + 2 at the point x=1.

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

A: The given equation of the curve is y= x3- 3x +1. We have to find the tangent line to the curve y=…

Q: Find the equation of the tangent line to f(x)=xe2x-2 + 3 at the point (1,4).

A: Slope of a tangent of a function at a point is equal to the value of the derivative at that point.To…

Q: Determine the equation of the tangent line and the normal line to the curve f(x)=x3 -3x2 +2x +2 at…

A:

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: Determine the equation of the tangent line to the curve y = f2 (x) at x = −2con

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Q: Find the equation of the tangent line.

A: Consider the given equation of curve:

Q: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

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: Find the slope of the tangent line to the curve y3 + yx2 + x2 − 3y2 = 0 at the point P(0, 3) by…

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Q: Find an equation of the tangent line to the curve y Inx" – x² at the point where x = 1.

A: The given curve is y=lnxx-x2 at the point where x=1. Find the equation of tangent.

Q: Find an equation of the tangent line to the curve at the point (1, y = x4e-x

A: Given that      y = x4e-x We have to find an equation of the tangent line to the curve at the point…

Q: Find the equation of the tangent line to the curve x4+y4=2 at the point (1,1)

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Q: Find an equation of the tangent line to the curve at the given point. 2x (0, 0) (x + 1)2'

A: The given curve y=2xx+12, at the point 0,0

Q: Find the equation of the tangent line to f(x) =x2-3x+1 / 2x-1 at the point x = 5.

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Q: Find the equation of the tangent line to the graph of j f (x) =- -5e2* at the point (0, -5).

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Q: Find an equation of the tangent line to the curve at the giv y = In(x2 - 3x + 1), (3, 0) y =

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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: Find the equation of the tangent line to the curve y=x4 at the point (−1,1).

A:

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: Find the equation for the tangent line to the curve y = 25 X + x² at x = 5.

A: Equation of tangent line to a curve y=f(x)  at x=a is given by y-f(a)=f'(a)(x-a)

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

A: To Determine: Find an equation of the tangent line to the curve at thegiven point.…

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

A: Consider the graph of function, To calculate the slope (m) of the tangent line at the points (2,…

Q: Determine the equation of the tangent line to the curve f(x) = 2sinx + sin²x at the point (E)

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Q: Find the slope of the tangent line to the curve - 3x² – 3xy - 4y³ = 265 at the point (1,4).

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Q: Find the slope of the tangent line to the curve - 2x2 + 2xy – 4y³ = 0 at the point (1, – 1). -

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Q: Find the equation of the tangent line to the curve y = 2x - x2 at (2, 0).

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Q: Find an equation for the tangent line to y =-3x- at the point x =-1.

A: We have to find equation of tangent line to the curve y=-3x2-1x3 at the point x=-1 To find the…

Q: Find the equation of the tangent line to the function y = sec'x at the point :2 4-

A:

Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Find the slope of the tangent line to the curve y = x²+4x+7 at the point (1, ). 7x+2

A: We can find the slope to the tangent to the curve at the given point as below.

Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: Find the equation of the tangent line to the curve g(x) = 4x² – 3x + 2 at the point (1, 3).

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where; m is the…

Q: find the equation of the tangent line to the curve f(x) = 2x³+3x² - 5x+3 at the point x= -1

A: Given, y=fx=2x3+3x2-5x+3             ...(1) Point  x=-1

Q: . Find the equation of the tangent line to the curve y =1 – 2x + x² at (1, 2).

A:

Q: Find the equation of the tangent line to the curve g(x) = 3x² – 8x + 2 at the point (1, -3).

A: The equation of the curve and the point is given as,

Q: Find an equation of the tangent line to the curve at the given point. y = (x2 - 1)/(x2 + x + 1')…

A: Given:         y=(x2−1)(x2+x+1)   for (1,0).

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 7x2 - x³, (1, 6) y =

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