Find the slope and equation of the tangent line to f(z) = 5- 2z at a = 2 using the definition.

Q: Apply the Chain Rule to find the tangent line to f(x) = 4/2x – 6e²-*at x = 2

A: The given problem is to find the tangent line to the given function at given point x=2 Given…

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 slope of the tangent line to the curve y =1+x+x´at the point x = a.

A: The curve is y=1+x+x2. Differentiate the function: dydx=1+2x

Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: Find the equation of the tangent line to the curve point (1,0). f(x) = x – e²²-1 at the

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Q: Determine the slope of the tangent line to the curve (;² – 2x – 8) 2 -9 R(x) = at the point where…

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Q: Find the slope of the tangent line to the curve - 3x² + 2xy + 2y 3 - 38 - at the point (4, 1).

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Q: Find an equation of the tangent line at x = 3, assuming that f (3) = 5 and         f ,(3) = 2.

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

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = -,; x = 3 X-2…

A: Given that fx=7x-2 Evaluate fx=7x-2 at x = 3.     fx=73-2f(x)=7 That is y1=7 Find the derivative:…

Q: Determine the point on f(x)= 2x^e where the tangent is parallel to the line y= 2x-12

A: The equation of the curve is  f(x) = 2xe The line parallel to the tangent line on the graph of the…

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 slope of the tangent line to the curve x4+6xy+y2=17 at (1,2).

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Q: Find the slope of the tangent line to the curve ((8x+9y)^(1/2))+((2xy)^(1/2))=7 at the point (2,1)

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Q: Find the equation of the tangent line to f-l x+4 at the point P (,0) for f(x) = 3x + 3

A: f(x)=(x+4)(3x+3)=x+13(x+1)+33(x+1)=13+1x+1 f'(x)=-1(x+1)2 f''(x)=2(x+1)3 the slope of the tangent at…

Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

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Q: Find the slope of the tangent line of the function -ey + x2 – y = 15 at the point (4,0)

A: Please note that the slope of tangent to a curve at any point is given by the derivative of the…

Q: What is the slope of the tangent line to the graph y = a° – 3x, | at the point (x1, Y1)?

A: Our Aim is to find the slope of the tangent line to the graph y=x3-3x -(i)at the point (x1,y1),

Q: Find the equation of the tangent line to the curve y=x^4+2e^x at the point (0,2).

A: Consider the given curve y=x^4+2e^x

Q: Find the equation of the tangent line to the function y = 2x – 4x + 3 at the point where x = 1.

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Q: Find the equation of the tangent line to y = x2 at the point where x = 2.1.

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Q: Find the slope of the tangent line to the curve 3a2 – 3xy – 4y3 = 56 at the point (2, – 2).

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Q: Find the slope of the tangent line to the curve 2x? + 3xy + 2y° = 25 at the point (– 3, – 1). - -

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Q: Find the equation of the tangent line to r - 3ry + y =-1 at (2,1).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the slope of the tangent line to the curve −x^2−3xy+3y^3=−7 at the point (−1,−1)

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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 and f'(3) = 2. 3, assuming that f(3) = 5

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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 slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

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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: Find an equation of the tangent line to the curve xe + ye = 3 at the point (0, 3)

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Q: Differentiate the functions and find the slope of the tangent line at the given  value of the…

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Q: Find the equation of the tangent line to the curve 2y? + xy = 5 – 2x², at the point (1;1).

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Q: Find the slope of the tangent line to the curve 3x? – 4xy + y³ = 3 at the point (1, – 2). -

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Q: |Find the point(s) on the curve f(x) = x² where the tangent is parallel to the line 4x-y-1= (

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Q: Find the slope of the tangent line to the curve 4x – 4xy + 1y = 23 at the point (- 3, – 1).

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Q: Find the slope of the tangent line to the curve 4x^2-3xy+1y^3=26 at the point (3,2). Slope =

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Q: Find the equation of the tangent line at the given point. 1 f(x) = х, (-1,2) Vx2 3

A: We have to find the equation of the tangent line of  f(x) = 1x23-x  at (-1, 2).

Q: Find the slope of the tangent line to the curve (r² + y² – 1)3 – r²y³ = 0 at the point (–1,1).

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Q: Find an equation of the tangent line to the curve y= e* that is parallel to the line y=1-2x.

A: Two parallel lines have the same slope

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 an equation of the tangent line to the curve y=x(x1/2) that is parallel to the line y=6+3x

A: y=6+3xBy comparing with y=mx+b, m=3Slope of a line parallel to to y=6+3x is  3

Q: Find an equation of the tangent line to the curve x e y + y e x   = 1 at the point ( 0, 1)

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Q: Find an equation of the tangent line to the curve xe + ye* = 2 at the point (0, 2).

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Q: . Find an equation of the tangent line to the curve y = x* + 1 that is parallel to the line 32x – y…

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

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Q: Use the definition of the derivative to find the equation of the tangent line to the graph of y = Vx…

A: We write 6x+3y=4 in y=mx+b form to find slope

Q: Find the equation of the tangent line at the given value of x on the curve y° + xy° - 4 = x + 4y“;…

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Q: Find the slope and equation of the tangent line to f(x) =4+2x at a 3 using the definition.

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