At a maximum or minimum point, the tangent line to a curve is A. parallel to the x-axis C. parallel to the y-axis B. inclined to the right D. inclined to the left

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: 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: If y = Vx2 + ell-x²), the slope of the tangent line to the graph of y at x = 0 is Answer:

A: Slope of tangent = y'

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

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Q: Construct a smooth curve tangent to the line segments starting at point P. P

A: Given: a group of line segments joining to form a zig-zag figure. Aim to form a curve which is…

Q: What is the slope of the tangent line that touches the graph of In y +es-1 = 3y – 4z at the point…

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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: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and fl-1)=2, then what…

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Q: If the tangent line to y=f(x) at (4,3) passes through the point ( 0,2) , find f(4) ,f  '(4)

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Q: If y = Vr² + e(1-2), the slope of the tangent line to the graph of y at a = 0is

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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: If the slope of the tangent line to the curve at the point (– 1, 2) is 4, find a. y=ax^2+3

A: The given curve is y=ax2+3. First derivative of y=ax2+3 is dydx=2ax. At -1, 2, dydx=2a-1=-2a Thus,…

Q: Find the slope of the tangent line to the curve læ? – læy – 3y: - at the point (– 1, 1).

A: Given curve1x2-1xy-3y2=-1To find :Slope of the curve at point -1,1

Q: If y=mx+b is the equation of the tangent line to the graph of y = x - x- 3 and is parallel to the…

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Q: Find the D.E. for each of the curves determined by the condition that at each point (x, y) ,   The…

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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.…

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Q: The equation of the tangent line to the curve a? +y = 16, at (4,-13) is 4 13 13 (x – 4) + 13 4 4 y =…

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Q: If the tangent line to y = f(x) at (5, 4) passes through the point (0, 3), find f(5) and f '(5).

A: Given that tangent line y = f(x) at (5, 4) passes through the point (0, 3).

Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

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Q: If the slope of the tangent line to the graph of y-f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

A: m(a)= 2 a + 1 f'(x) = m(x) = 2x +1  Integrating f'(x) gives f(x); f(x) = 2(x2/2) + x + c f(x) = x2 +…

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 to the curve y = 25* at the point (1, 32).

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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 point on the graph of h(x) with the largest slope, that is, the (a) point where the tangent…

A: Given function is         h(x) = -3x5-5x4+20x3+60x To find the largest slope of h(x) at the tangent…

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: Find a point on the graph of the curve y = (x - 3), where the tangent is parallel to the chord…

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Q: find any x-values where the tangent to the curve is horizontal, where y=x^3-6x^2+9x+1

A: The given equation of curve is,

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Given that  x=t^3+1,y=t^4+t  To find the equation of the tangent line

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

A: To write an equation for tangent line to the curve at a given point, we calculate the slope at the…

Q: Find an equation of the tangent plane at the given point. g(x, y) = ely, (4, 1) (Express numbore in

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Q: Find the coordinates of the point in the first quadrant at which the tangent line to curve…

A: Find the coordinates of the point in the first quadrant at which the tangent line to curve…

Q: If a is a positive integer, then the slope of the tangent to the graph of y = a? + In(az + 1) at a =…

A: To find the slope of the tangent to the graph of the given equation

Q: दलालभ यला Find an equafion of the tangent line to the ceurve at the grven point. y=x3-3x + 1, (2,3)

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

A: a) find the slope of curve at point P(1,-3).Find the derivative of the following function.

Q: Would it be more difficult to find the points where there is a horizontal tangent line to this…

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Q: 1. Find the set of points in the curve y = A where the tangent lines are horizontal.

A: we have to find the set of points in the curve y=4xx2+1 where the tangent lines are horizontal. as…

Q: Find the slope of the tangent to a parabola y=x^3 at a point on the curve where x=1/2

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Q: Given that the graph of J (X) passes through the point and that the slope of its tangent line at +…

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Q: If the tangent line to y = f(x) at (6, 7) passes through the point (0, 5), find f(6) and f'(6)

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Q: i. Find the equation of the tangent to the graph of g at (4, 2).

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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: The slope of the tangent line to the graph of y = In(ry) at the point (e, 1) is .2 Select one: a.-e…

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Q: 3. If the graph of y=fcx) has a horizontal tangent at x=a, what is happening at this point ? I…

A: For a function ; a point is considered. A horizontal tangent exists at this point which means that…

Q: Find the point on the curve y=x³ at which the tangent is parallel to the tangent at the point on the…

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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 an equation of the tangent line to the graph of y = e¯x- at the point ( 5, 25

A: given: y=e-x2; 5,1e25 we know that for finding equation of tangent at point5,1e25, we need to find…

Q: 4. If the slope of the tangent line to the curve at the point (-1, 2) is 4, find a. " y = ax? +3 O…

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