Use the definition of the derivative to find the equation of the tangent line to the graph of y = Vx – 3, that is perpendicular to the line 6x + 3y = 4

Q: Find the equation of the tangent line to y = 4cos(3x) at x =

A: We have to find the equation of tangent line

Q: Find the exact slope of the tangent line to sin (x) y = f(x) = 2x + S at the point where x = 2

A: we have the function y=f(x)=2x+sin(x)2 we have to find slope at point x=π6

Q: Find the equation of the tangent line to the curve y = x^2 + sqrt(x) at a = 1.

A: Given function is,

Q: Find an equation of the tangent line to y = 24ex at x = 2.

A: Our Aim is to find an equation of tangent line to y=24ex at x=2At x1=2, we have y1=24e2Now we find…

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: Use the definition of the derivative to find the equation of the tangent line to the graph of…

A: Identify the slope of the given line 6x+3y=4           The slope is identified to be m=-2.   The…

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

A: Now slope of the tangent line is the derivative of the given curve. So differentiating given curve…

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

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: Find the slope of the tangent line to the curve. √(3x + y) + √(2xy) = √7 + √4 at the point (2,1).

A: Given: 3x+y+2xy=7+4 we know that slopem of tangent at point2,1 is given by m=dydx|2,1 so, finding…

Q: Find the equation of the tangent line at the given value of x on the curve. 2y° + xy - y = 128x*;…

A: Solve the given

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: Find the equation to the tangent line to the curve y = 3+x where x = 0. 4+ex

A: We have to find the equation for tangent line to the curve given.

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 an equation of the tangent line to the graph of f(x) = xe¯X at its inflection point. y =

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

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Q: Find the equation of the tangent line at the given point on the curve. 2y - Vx = 4. (16,2) y =U

A: We need to find equation of tangent line.

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 = 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 an equation of the tangent line to the curve y = F(x) at the point with x-coordinate equal to…

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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 the equation of the tangent line to the curve y = Vx – 3 at the point (4, 1). - o y = }x - 3 2…

A: Explanation of the answer is as follows

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: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy + 4xy=…

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Q: Find the equation of the tangent line to the graph of y(x) 7z at a = 0. quation of the tangent line…

A: As we know that the first derivative of the function is equal to the slope of the tangent line to…

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: Find an equation of the tangent line to the curve y = x/x that is parallel to the line y = 6 + 3x. y…

A: The given question has been solved in detail

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 equation of the tangent line to the function f(x)=2x2-x  at the point where x=−1. Give your…

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Q: Find the equation of the tangent line to f at x = a. f (x) = 3 − 4x,             a = 2

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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 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 to the curve x²y² - xy + x - y = 0 at the point (0, 0). Ox+y=1…

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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: Find the equation of the tangent line to f(x) =3cscx+xsinx at X= 2 A y=x- 3 y=x+3+ 2 y=x+3 y=x+3-

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Q: f2(x) = 2x³ – 4x² + 5.

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Q: Find the equation of the tangent line to the curve y = + 6x at its point of intersection with the…

A: The tangent of any given function is the line that touches the curve of the function at only one…

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: Find the equation of the tangent line to the curve y = x* + 6e* at the point (0, 6). y =

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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 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 slope of the tangent line to the curve 1x^2+1xy−2y^3=160 at the point (−4,−4)

A: The objective of the question is determine the slope of the tangent linen to the given curve.