Find the equation of the tangent line to the curvef (x) = x- + 2x at x = 1. Enter the answer in the box.

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

A: We have to Find the slope of the tangent line to the curve   y = x3 + 3x - 8 at (2, 6).   We have…

Q: Find an equation of the tangent line to y = xt + 2x2 – x at x = 2

A:

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.

A:

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

A:

Q: Find the equation of the tangent line to the curve at its point of inflection. y+x^3+3x^2+2

A: The given equation is y=x3+3x2+2. Compute the point of inflection by equating y''=0 as follows.…

Q: The slope of the tangent line to the curve y=-4e 2xcos(-8x) at xw0 is

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Q: Find the equation of the tangent line to the curve y²(y² – 4) = x² (x² – 5) at the point (0, –2). |

A: Equation of tangent line is given by:y-y1=dydxx=x1·(x-x1)      .............[1]So first find dydx at…

Q: find an equation of the tangent line at the point indicated. f (x) = 6x , x = 2

A:

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 the curve when x has the given value f(x)=16/x ; x=2

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

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

A:

Q: Find an equation of the tangent line to the curve at the given point y = 4x2 – x, (1, 3)

A:

Q: Find the equation of the tangent line to the curve 3x f (x): at the point (1,). 1+5x2

A: Given: The function fx=3x1+5x2 and the point 1,12, To determine: The equation of tangent line to the…

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 the function y = 2x – 4x + 3 at the point where x = 1.

A:

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: 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 equation of the tangent line to y=5x2  at x=0

A:

Q: . Find an equation of the tangent line to the curve y = sqrt ( 3 +x2  ) that is parallel to the line…

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Q: Find the slope of the tangent line on the curve y = x3 - 2x2 – x at x = -2. -6 O -19 O 19 O 6

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Q: (a) Find the equation of the tangent line to the curve y = 2lnx at x = 5.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Find the equation of the tangent line to the curve at the gvien value x. f(x)= (7)/(x-2); x=3

A: Given,

Q: Find the equation of the tangent line to y = 3e at x 7.

A:

Q: find an equation of the tangent line at the point indicated. f (x) = 5x2−2x , x = 1

A: At x=1 find f(1)

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 an equation for the tangent line Y= 4x-since when x=0

A: To find the equation of tangent  line

Q: Find the equation of the tangent line to f(x) = x^2 −3x+5 at the point x = 3.

A: Given function , fx= x2-3x+5 at the point x=3 ,at x=3 , f3= 32-3x3+5             f3=9-9+5=5Hence ,…

Q: 2x2 y = Зх — 1

A:

Q: Find the equation of the tangent line to the curve y=2x2-1 at x=2

A: .

Q: Find the slope of the tangent line to the curve 2x2 + 4xy- 2y = 142 - at the point (– 1, – 4).

A:

Q: Find the equation of the tangent line to the curve at the point (1,-3) x^2 +2xy-4y^3=103

A: Given :-  curve x2+2xy-4y3=103  To find :-  Equation of tangent line passing through (1,-3) to Given…

Q: Write the equation of the tangent line to the curve y = x + 6x - 3 at (1,4).

A: Given,           The curve is y=x2+6x-3 and the point is 1,4.To find: The equation of the tangent…

Q: Find the slope of the tangent to the curve y=3+ 4x 2  -2x3    at the point where x=a

A: Given: y=3+4x2-2x3 The slope of the tangent to the curve at the point x=a is the derivative of…

Q: Find the equation of the tangent line to the curve y=x3 at x0=1.

A:

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 an equation of the tangent line to the graph of the function (x)= Vx –7 at the point (23, 4).

A:

Q: Find the equation of the tangent line to the curve y = (1 + 2x)² at the point (4, 81). ソ=

A: First find the slope of the tangent line with the help of derivative of the given curve than write…

Q: Find the tangent line to y = √(x2 - x + 7) at x = 2.

A: Differentiating with respect to x, we get

Q: Find the exact equation of the tangent line to the curve f (x) = x³ + 3x +4 at x = 2.

A:

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: Find an equation of the tangent line to the curve defined by y=2x2-5x+8 when x=2.

A: Given:

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 the slope to the tangent line x^2e^4x at the point (-1,e^-4)

A:

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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