(a) Find the slope of the graph of f(x)=1-e" at the point where it crosses the x-axis. The slope is (b) Find the equation of the tangent line to the curve at this point. (c) Find the equation of the line perpendicular to the tangent line at this point. (This is the normal line.)

Q: Find the equation of a NORMAL LINE in SLOPE-INTERCEPT FORM to the given cu below f (æ) = (x² + 1)*…

A: Note: The normal line is defined as the line that is perpendicular to the tangent line at the point…

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A: We are given that f(x) = xx and x ​= e.

Q: Зх+1 3. Find the equation of the tangent line to the curve f (x) at x = 6. х-2 4. Find the equations…

A: Using equation y = mx +b where m = slope

Q: ind the equation of the curve at every point of which the tangent line has a slope of -e-.

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A: Given, y=x3-6x+2 at the point (2,-2)

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

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A: Given :          y=2xx2+1     1,1

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Q: The slope of the tangent line to the curve y^2 = 5x – 1 at P(1, 2).

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Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: (a) Find an equation of the tangent line to the curve y = (1+x²/3}3/2 at x = -1.

A: Given: y=1+x2332 for finding equation of tangent at given pointx=-1, first we need to find slope of…

Q: 22. Find an equation of the tangent line to the graph of f(x) = 4 - x² at (a) (-1,3); (b) (0, 4);…

A: Given: f(x)=4-x2 To Find: the equation of the tangent line to the graph at a) (-1, 3) b) (0, 4)…

Q: :-1 What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the point…

A: As per guidelines we have to solve the 1st one

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: The given curve,  y=x+2x-23 at x=1

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Q: 1. Find the slope and equation of the tangent line to the graph of g(x) = x² + 2x + 1 on the…

A: NOTE- AS WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION SO, I HAVE ANSWERED FIRST ONE FOR YOU…

Q: The slope of the tangent line x = e*, y = In e3x

A: Let's find.

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Q: 11. At what point(s) of the curve xy = (1 – x – y)? is the tangent line parallel to the x-axis? Give…

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Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

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Q: 1. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = x2 + x - 1 AT (-2, 1). %3D

A: As per our guidelines, we are providing the solution of question number 1 only. Please repost the…

Q: 3. Find the equation for the normal line (perpendicular to the tangent line) to f(x) = 2x3 – 2x at x…

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Q: 1. find the equation of the normal to the tangent line to the graph of the given equation at the…

A: The equation of the curve is given by y = x+1x The point at which the equation of the normal line…

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A: Given, fx=x+4x at x=4f4=4+1=5The point is 4,5f'x=1-4x2f'4=34Slope of tangent line is 34Using…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.

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Q: Find the slope of the line tangent to the graph of ƒ(x)

A: Consider the following function: fx=xx+6 Differentiate fx with respect to x:…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: We know  ,        The equation of tangent is :              Y - Y1 = m ( X - X1)  The equation of…

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A: use tangent slope we find normal of f(x) at x=-1

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Q: 1) Find the equation of the tangent line and normal line to the graph of the function y=x√√x-1 at…

A: As we know that; The expression for the equation of the tangent line is: y-y0=mx-x0 Where m is the…

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A: gx=4x+3P-5,10

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A: Given curve is y=x4-2ex. To find the equation of the tangent line and normal line to the curve at…

Q: The equation of the tangent line to the curve y=x² +1 at x = -4

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