Determine the slope of the tangent line of the curve y = x+4 at x = 7. O 14 O 28 O 21 0 7

Q: For what value of x is the tangent line to the curve y= x2 – 6x + 5 horizonta? A none of the given…

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Q: The slope of the tangent line to the graph of y = In(xy) at the point (e, 1) is :Select one -e-l.a…

A: Given equation is Differentiating both sides with respect to x, we get.

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 the exact value of the slope of the tangent line to the graph of 2 – x? – a² + 3xy – 3y = 1 at…

A: Slope of the tangent line , m=dydx du.vdx = u.dvdx +dudx.v dxndx=n.xn-1

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 all values of x where the tangent lines to y = x² and y = x³ are parallel.

A: Slope of both curves are equal

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

A: Given, A curve y=x12  and a point P(4,2) (a). To find the slope of the curve a the point P (b). To…

Q: Find the slope of the tangent to the curve at the point specified. x + 2xy + y? = 25 at (1, 4) %3D

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Q: Find the slope of the tangent line for the curve r=3+5cosθ when θ=π/6

A: Concept - If a function f(x) is given then slope of the line tangent to it at x=a is given by -slope…

Q: Question 4

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Q: Find an equation for the tangent line to the curve defined by the equation ?x^2y^2+ xy + y = 1 at…

A: Given: x2y2+xy+y-1=0 for finding equation of tangent for given curve at given point, we need to find…

Q: 3. At what point(s) is 9 the slope of the tangent line to the curve y=xr' - 3x'.

A: Given: Curve y=x3-3x2 Slope is 9 The slope of the tangent to the curve is given by dydx.

Q: (x2 + y2)2 = 4x2y, (1, 1) Bifolium: 1.4 1.2 (1, 1) 1 0.8 p.6 0.4 0.2

A: Find equation

Q: [10] At what point on the curve y = e*is the tangent line parallel to the line y = 2x? Give answer…

A: Given curve y=ex   and line y=2x

Q: Find the equation of the tangent line to x? – y + y? = 21 at the point (1,5).

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 2? y = 2 + 2ex –…

A: To determine the point on the given curve is the tangent line parallel to the line 3x-y=2.…

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: Find the slope of the tangent line to the curve1x^2+1xy−3y^3=−24at the point (−2,2).

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given equation of curve is y=x Given point is P(4,2). (a) Differentiating the given curve with…

Q: a) Find the equation of the tangent line to f at (3, 27/13). y = b) Find the equation of the normal…

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Q: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

Q: The slope of the tangent line to the curve y = x² + 4x + 7 at x = 1 is Blank 1. Blank 1 Add your…

A: The solution of the problem is given in the next step.

Q: 3. What is the slope of the tangent line to the graph of y =- at x = 2? x+1 1 A) 3 B) 9e - C) 4e 4…

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Q: 3. Find the slope of the tangent line to x? = (y² + 1)(x + y) at (0,0).

A: As we know that: The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Find the slope of the tangent line to the curve 3xy- 5y 4 at = 1. ECAD Hint: what is the y-value at…

A: Differentiate at given point

Q: Determine the equation of the tangent line to the curve (x) = x/ x + 1 at X=3. 11 A 4 11 В 2/3 11…

A: Solution: Let y =f(x)

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

A: Given: x3+y3-6xy=0,     43,83

Q: Find the equation of the tangent and normal line at the point indicated. Sketch the curve. y = x –…

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Q: 2. Find the slope of the tangent line to the curve x? + y? = 1 at the point ) %3D

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Q: Find the slope of the tangent line to the graph of yx = xy at each of the following points.    (i)…

A: The given equation is, yx=xy   Take natural log on both sides. lnyx=lnxyxlny=ylnx   Differentiate…

Q: Find the slope of the curve (of the tangent line) for the given value of x. 1) у %3Dх3 - 8х, х %31

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Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y = X² –2× at the…

A: The definition of the slope of the tangent line at x=c is given by: limh→0fc+h-fch Given: y=x2-2x…

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

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Q: Find the slope, m, of the tangent to the curve y = 2√x    at the point where x=a

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Q: Find the slope of the tangent line to the curve at the given value of the parameter. x= 2t2 +5t y=t3…

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Q: 2. x?y2 - 3xy = 4x +y+1 at (0, - 1)

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Q: 19. Find the lines that are (a) tangent and (b) normal to the curve y = x' at the point (1, 1).

A: Given curve: y=x3

Q: What is the slope of the tangent line that touches the graph of In y + e2¤¬1 = 3y – 4x at the point…

A: Given query is to find the slope of the tangent.

Q: Find an equation of the tangent line to the curve at the following point: y = (1 – 82)1º, (0, 1) y =…

A: I have used the formula for the equation of the tangent

Q: Find the slope and y-intercept of the tangent line, in the form y = mx + b, to the curve at the…

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Q: What is the slope of the tangent line to the graph of y = cot /2z +lat the point where z = 0? Select…

A: Here we have to find the Slope of the tangent line to the graph of  y=cot-12x+1  at x=0

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: The equation of the tangent line to the curve a? +y = 25, at (8,-12) is. 12 (x+8) – 12 8 y = 8. y =…

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Q: The slope of the tangent line to the graph of y? = In(xy) at the point (e, 1) is :Select one -e-1.a…

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

A: To find: The slope of the curve and equation of tangent line at point P of the below curves. Given,

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

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

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given a curve, y=1x and a point P-2,-12 (a) To find the slope of the curve at the given point. (b)…

Q: Estimate the slope of the tangent line to each curve at the given point (x, y). 5. E L IN NN IIE…

A: Slope of the tangent line