Find the equation of the tangent line of f (x)= x² In x at x=1.

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: Estimate the slope of the tangent line of the function f(x) = 2e* at the point x = e. %3=

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Q: Determine the equation of the tangent line to f(x)=xx-1 at x=1. y=x y=x+1 x=1 y=1

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Q: Find the equation to the tangent line of the curve y =x' +e' at x=0

A: We need to find the equation to the tangent line of the curve y=x3+ex at x=0. When x=0, y=1. Now,…

Q: Find the equation of the tangent line to the function f(x) = e*-1 In(x + 1) when x = 0.

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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: Find the equation of the tangent line at the given value of x on the curve. 2y' +xy - y = 54x*, x= 1…

A: Explanation: Given that: 2y3+xy-y=54x4 x=1 Concept: The standard equation of tangent line y=mx+c…

Q: Find the equation of the tangent line to f (x) = ex at x = 2. Give answer in exact form. x²-1

A: Given : fx=exx2-1

Q: Find the equation of the tangent line to the graph of f(x) = x'e- at x = 0.

A: The given function is f(x)=x9e-x at x=0.

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

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Q: Find the equation of the tangent line. to y=f(x) at point P. %3D

A: We have to find the equation of tangent to y=f(x) at P.

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 the equation of the tangent line to the graph of f(x)=x^2cos(x) at x=0

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Q: Find the equation of the tangent line to y = at 3 - x X = 1.

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Q: Find the equation of tangent line to the curve f(x) = 2 – dt 1+t at the point x = 1.

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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: Find the equation of the tangent line to the curve f( x) = Assume f'( x) =- and x = 1.

A: Answer and explanation is given below....

Q: Find the equation of the tangent line to the graph of f(x) = (1 – x) Væ at x = 4.

A: topic - equation of a tangent line

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 the equation of the tangent line to the functions: 2. f(x)= Vx+ 2 at x= 4

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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 at x= a. a = 2

A: Find an equation of the tangent line at x = a. y=x22; a=2

Q: Find an equation of the tangent line at x = a, y = x² – - X; a = - 2

A: Equation of tangent line ,  y - y0 = m ( x - x0 )  Here m is the slope of tangent line and  ( x 0 ,…

Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x-4) +x/y = 8; x=4 y…

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Q: Find the equation of the tangent line y=xeX  at x=0

A: equation of tangent line is y= x at x =0. Solution

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 for the normal line (perpendicular to the tangent line) to f(x) = 2x3 – 2x at x =…

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Q: Find the equation of the tangent line at the given value of x on the curve. 3y +xy-y = 192x*; x=1

A: Given eqn : 3y3+xy-y=192x4  ,  x=1 So when x =1 3y3+xy-y=192x4=3y3+y-y=192= y3 = 64= y = 4 Now find…

Q: Find an equation of the tangent line at the point indicated: f(x) = ln(x²), x = 4.

A: NOTE: Refresh your page if you can't see any equations. . here we have x=4 so the point on the…

Q: Find the equation for the tangent line to the curve y=f(x) at the give x-value. f(x)=ex^2-1 at x=1

A: equation of the tangent at the point ( x1,y1) with slope  y - y1 = slope ( x - x1)

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

A: Proceed as shown below...

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: Find the slope of the tangent line to f(x)=ex at the point (1, e).

A: Given,         The slope of the tangent line to fx=ex at the point 1,e.

Q: Find the slope of the tangent line to the curve x + xy – y = 23 at the point ( – 3, – 2). -

A: The given function is x2+xy-y3=23 The point is x0,y0=-3,-2

Q: Find the equation of the tangent line to the curve f(x)= Va. Assume f'( x) 1 at x = 4.

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Q: Find the equation of the tangent line (in point-slope form) to . 2 f(x) = 3 – 2x' + In(5x + e) at x…

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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: What is the equation of the tangent line at x=-2 of f(x)=√√x -1

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Q: Find the equation of a tangent line to the curve y = x e2x at the point where x=1

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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 equation of the tangent line with values g(x)= squareroot x and f(x)= x2

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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 at the point (1,0) to the curve implicitly defined by In(x +…

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Q: Find an equation of the tangent line to y = f (x) at x = a.

A: The derivative of a function at a point gives the slope of the tangent to the curve at that point.…

Q: Find the equation of the tangent line at the given value of x on the curve. 2y° + xy - y = 16x*; x=1…

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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

Q: Find the equation of the tangent line at the given value of x on the curve. 4y +xy-y 32x*; x=1 y=

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Q: Determine the equation of the tangent line to g(x) = sin(6x) at x = A.

A: Given ,  g(x) = sin(6x) at x = π  We have to find the equation of the tangent line  g(π) = sin(6π) =…