Find the function f given that the slope of the tangent line to the graph at any point (x, f(x)) is f'(x) and that the graph of passes through the r'(x) - InCx); (1, -9)

Q: Find equations of the tangent line and normal line to the given curve at the specified point. 3x…

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Q: Find the points on the graph of y = tan x, 0sxs2n, where the tangent line is parallel to the line 4x…

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Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below

Q: Find the equation of the tangent line at the given value of x on the curve. y° +xy² -61=x+3y°; x:…

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Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: 7. Use implicit differentiation to find the slope of the tangent line to the graph of x +y = 19 –…

A: Here we will find the slope of tangent line to the given graph,

Q: Find the slope of the tangent line to the curve y- x + 4=0 at the points (8, 2) and (8, -2) in two…

A: We will find out the required solution.

Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

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Q: Find the slope of the tangent line to the curve of y = x 2 at the point where x = −6

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the slope of the tangent line to the graph of xy^2 + x^2 + y^2 = 9 at the point (0,3)

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Q: 4. x-y = 2 at (2, 2)

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Q: Find the slope intercept equation of the tangent line to the graph of y = Vx-1 at x2+1 the point…

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Q: 8. Find the point of the graph of f (x) = xe-2x where the tangent line is horizontal. %3D

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Q: Find an equation of the tangent line to the graph of y = e at the point 2, y =

A: The given function is:y=e-x2The point is 2, 1e4

Q: Find the slope of the tangent line of y=csc(x) at x=π/3

A: Given, y =cscx   We have to find the slope of the tangent line at x = π3

Q: Where on the interval [0, 4] does ƒ(x) = 4x - x2 have a horizontal tangent line?

A: Determine the value for derivative of f(x) i.e f'(x). fx=4x−x2f'x=ddx4x−x2=ddx4x−ddxx2=4×ddxx−2xSo,…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = xsin(x),…

A: We tale ln on both sides then differentiate both sides with respect to x

Q: Find an equation of the tangent line to the graph of f at the given point. ru) - -17) x + 8 f(x) x -…

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Q: 2. Sketch the graph of a tangent line of the function f(x) = at x = -1. And then find 1- x the…

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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: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: Find the slope of the tangent line to the curve defined by (4x^6)+xy−(5y^5)=259 at the point…

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Q: 3. Find an equation of the tangent line to the curve at x=4 y=(sqrt(x)) / (x+6)

A: Given equation of the curve y = xx+6  ...............(1) Let the equation of the tangent at (x1, y1)…

Q: on the chain rule find the tangent line to graph y=(x+2/x+1)^2, at x=0

A: We have to find tangent line to y , first we will find  value of y at x=0.

Q: The second derivative of a curve C at any point is y" = sec?x tanx. If 2 is the slope of the tangent…

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Q: The second derivative of a curve C at any point is d2y/dx2 = sec2x tan x. If 2 is the slope of the…

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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: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

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Q: 7. Use implicit differentiation to find the slope of the tangent line to the curve 3(28x + y)/2 = 5y…

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Q: 4. Find the tangent line to the function f(x) =;xVx² + 5 at the point (2,2).

A: Tangent line of a function:  Differentiate the equation of the curve Substitute the value into the…

Q: Find the equation for the tangent line to the curve at the given point. f(x) = ln(6esin(x) − 5) at…

A: We need to find the equation for the tangent line to the curve at the given point.

Q: Find the slope of the function F(x) = √√x+1 at the oint (8,3) And find the equation of the tangent…

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Q: Find the slope of the line tangent to the curve y = sin' x at the point where x-x/3

A: We have to find the slope

Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: 2) Find the tangent line to y2 = x at the point (4, –2).

A: Given: y2=x…

Q: Find an equation of the tangent line to the curve y = 2x sinx at the point (π/2,π)…

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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: Find the slope of the tangent line to the curve f(x) = at the point where x = 9. %3D

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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 tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: 1. Use implicit differentiation to find the slope and equation of the tangent line given f(x) = x³…

A: Given function is  f(x) = x^3+y^3-9  According to Bartley guidelines we can attempt only one…

Q: 3. Find the equation of the tangent line to f(x) = 2x · sin (x) at the point (5, ).

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Q: 3. Find the siope of the tangent line that crosses through the point (3, 7) along the 2 curve f(x)=x…

A: Given :f(x)=x2-x+1

Q: Find the equation of the tangents to the curve y = sin x at x = - T, 0, and ,. Graph the curve over…

A: given curve y=sinx to find equation of tangents at x=-π,0,3π2 also, to draw the graph of given curve…

Q: 4. Find the equation of the tangent line to the function y = In (x² – 2) when x=3.

A: Question is solved.

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  5 sin(x) + 2 cos (y) - 5 sin(x) cos(y) + x =5π at…

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