Find the equation of the tangent line and the normal line of the curve at given point:

Q: Write an expression for the slope of the tangent line to the  curve y − f(x) at the point (a,f(a)).

A: Given: The equation of curve is: y=fx Given point is a, fa.

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.

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Q: tangent

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Q: Determine the slope of the tangent line to the given curve, provided below, at x = 1. * 4 x + 6 y =…

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Q: Find the equation of the tangent line to the curve at the given point.   y =?

A: The objective is to find the equation of the tangent line to the curve at the given point.

Q: For the graph shown, estimate the slope of the tangent line at x = 1.

A: The slope of the tangent line at x = 1 is -1.

Q: Estimate the slope of the tangent line to each curve at the given point (x,y)

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Q: Find the tangent line points

A: The slope of the line passing through these points is: m=10-50.39-0.26m=50.13m=50013

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (z? + y?)° = 25(x² – y²) at the…

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Q: If f(x) =x'e*, find the slope of the tangent line at the point x 1.

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Q: Find the equations of the tangent and the normal at the point indicated.   a2y = x3 at (a, a).

A: To find the equation of tangent and normal at the given point.

Q: Find the equation of the tangent and normal line to the following curves at an indicated points:

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: find the slope of the tangent line to the graph at the given point

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: 1. y+x+y=x at ( 6, 3)

A: Given:  y+x+y=x   at  (6,3). We have to find the equation of tangent line and normal line. The…

Q: By considering, but not calculating, the slope of the tangent line, give the derivative of the…

A: Given:            The equation of line: y=mx+b The line has slope of m because if x changes by one…

Q: Find an equation of the tangent Iine to the ollowing curve at the point (0, 5). xe' + ye* = 5

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Q: Find the equation of the tangent line and the normal line at the p corresponding to the given value…

A: Let's find equation of tangent line and normal line.

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 the equation of the tangent line to

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Q: Find the equation of the tangent and normal line at the point indicated. Sketch the curve. у %3 х3 —…

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Q: Find the equation of the tangent line and the normal line of the following curves at the given point…

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Q: Determine the slope of the tangent line at t = 2

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Q: Show that the tangent line to the curve y = x3 at any point (a, a3) meets the curve again at a point…

A: Proof: The given curve is y=x3. Obtain the derivative of the function as follows: dydx=ddxx3…

Q: Find the slope of the tangent line to the curve

A: Follow the procedure given below.

Q: Find the equation of the tangent and normal to the given curve at the given point.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the equations of the tangent and normal line to the following curve at an indicated points

A: Given that: y=31+x

Q: Find the equation of the curve at every point of which the tangent line has a slope of e^x

A: Topic:- application of integration

Q: Estimate the slope of the tangent line to each curve at the given point (x, y)

A: To find the slope of the tangent line to each curve at the given point (x, y).

Q: Find a point on the curve y=√x, where the tangent makes an angle of 45 degrees with the positive…

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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: The slope of the tangent line is

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Q: Find an equation of the tangent line to the given curve at the specified point. y =

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

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Q: Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: The given problem is to find the tangent line to the curve f(x)=x/(x+4) at the given point (-5,5).…

Q: Find equations of the tangent line and normal line to the given curve at the specified point.

A: y=xx+1y'=12x(x+1)-x(1)(x+1)2y'=12x(x+1)-x(x+1)2At x=4, y'=124(4+1)-4(4+1)2=54-225=-3425=-3100

Q: Find the slope of the tangent line to the curve - la2 – 3xy + 3y° = 29 at the point (- 1, 2).

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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 an equation of the tangent line to the

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

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Q: Find the point of tangency and write the equation of the tangent line at this point. B

A: The tangent to a circle is defined as a straight line that touches the circle at a single point. The…

Q: Find an equation of the tangent line to the graph of y = xeX at the point ) y =

A: y=xe^-3x

Q: write the equation of the tangent line to the curve y=x^3+x at the pints where the slope is 4.

A: In this question we have the curve and slope 4 . We have to find the equation of tangent when slope…

Q: Find the tangent to the curve a"-'y = x"

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the tangent and normal line to the curve

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Q: Find all values of æ where the tangent lines to y = x³ and y = x* are parallel.

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