Determine the equation of the line that is perpendicular to the tangent line at the curve y = 5x2 – 1 when x = 1.

Q: Find the equation of the line tangent to the curve y=x-x^2 (x squared) at x=-4

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Q: Find the equation of the tangent line to the curve y = x^2 + sqrt(x) at a = 1.

A: Given function is,

Q: Find an equation of the tangent line to y = 24ex at x = 2.

A: Our Aim is to find an equation of tangent line to y=24ex at x=2At x1=2, we have y1=24e2Now we find…

Q: Find the equation of the line tangent to the curve y = ex/x at x=1

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Q: find the slope of the line tangent to the curve x2=y2+3/2xy at (4,2)

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Q: Find an equation of the tangent line to the curve y = x sqrt x that is parallel to the line y = 1+…

A: Now slope of the tangent line is the derivative of the given curve. So differentiating given curve…

Q: Find the slope of the tangent line to the curve - 32 + 2ry-y = 0 at the point ( 1, – 1).

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Q: Find the equation of the tangent line to the curve at its point of inflection. y+x^3+3x^2+2

A: The given equation is y=x3+3x2+2. Compute the point of inflection by equating y''=0 as follows.…

Q: For what value of x is the tangent line to the curve y= x2 –6x+5 horizontal?

A: We have to solve the problem

Q: The slope of the tangent line to the curve y=-4e 2xcos(-8x) at xw0 is

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Q: For what value of x is the tangent line to the curve y= x² - 6x +5 horizontal?

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Q: Find the slope of the tangent line to the curve – 2a2 + xy + 4y³ = - 6 3 at the point (- 2, 1).

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Q: Find the equation of the tangent line to the curve y=5x³-1 at x= -1.

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Q: Find the slope of the tangent line to the curve x4+6xy+y2=17 at (1,2).

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Q: Find the equation of the tangent line to the curve y=5x²-1 at x= -1. Y=15x + 9 Y=15x-6 O y= x-6 O…

A: Topic:- application of derivatives

Q: On the same axes, plot the curve y = 1x, the line y = x/8, and the tangent line to y = 1x that is…

A: Given curve is y=x. Let x,y be any point on the curve. Differentiate function with respect to x.…

Q: Find the slope of the tangent line to the curve 3a2 – 3xy – 4y3 = 56 at the point (2, – 2).

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Q: Find the equation of the tangent line to y=5x2  at x=0

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Q: Find an equation of the line tangent to the curve y = x²e*-3 at x = 3.

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Q: Find the equation of the tangent line to the curve y=1-x² that is parallel to the line 2x-4y=8

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Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + 1y - 38 at the point (1, – 3). -

A: Where we use the concept of implicit differentiation then we evaluate the differentiation at the…

Q: . Find an equation of the tangent line to the curve y = sqrt ( 3 +x2  ) that is parallel to the line…

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Q: where x = 6.

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Q: (a) Find the equation of the tangent line to the curve y = 2lnx at x = 5.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: find the equation of the tangent to the curve y=3x(squared)-8x+1 at the point where x=1

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Q: Find the equation for the line tangent to the curve 2exy = x + y

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Q: Find the slope of the tangent line to the curve 4x – 4xy + 1y = 23 at the point (- 3, – 1).

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Q: Find the equation of the tangent to the curve y = (x−2)(√x2 + 16) at x = 3.

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Q: Find the slope of the tangent line to the curve - 2x2 + 2xy – 4y³ = 0 at the point (1, – 1). -

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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: The equation of the tangent line to the curve x² + y² = 64, at (9,-14) is

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Q: Determine the equation of the tangent to the curve y = x - e^-x that is parallel to the line 6x - 2y…

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Q: Find the slope of the tangent to the curve x^4+5xy+y^2=7 at (1,1). The slope is:

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Q: Find an equation of the tangent line to the curve y=x√xthat is parallel to the line y= 1 +3x

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Q: Find an equation of the tangent line to the curve y = 2x ^ 2 + 3 that is parallel to the line 8x - y…

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Q: Find an equation of the tangent line to the curve y=x(x1/2) that is parallel to the line y=6+3x

A: y=6+3xBy comparing with y=mx+b, m=3Slope of a line parallel to to y=6+3x is  3

Q: Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

A: topic - slope of tangent line to curve

Q: The slope of the tangent to the curve yx + y²x² -6 at (2,1) is

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Q: Find the equation of the tangent line to the curve y=x4 -14x2+17x+40 and perpendicular to the line x…

A: The equation of given curve is   y=x4-14x2+17x+40  On differentiating with respect to x, we get…

Q: Find an equation of the tangent line to the curve at the following point. y=(1-2x)^10 , (0,1)

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Q: Write the equation of the tangent line to the curve y = x + 6x - 3 at (1,4).

A: Given,           The curve is y=x2+6x-3 and the point is 1,4.To find: The equation of the tangent…

Q: Find the slope of the tangent to the curve y=3+ 4x 2  -2x3    at the point where x=a

A: Given: y=3+4x2-2x3 The slope of the tangent to the curve at the point x=a is the derivative of…

Q: Find the equation of the tangent line to the curve y=x3 at x0=1.

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Q: Find the equation of the tangent to the curve y = (x−2)√(x2 + 16) at x = 3.

A: To find the equation of tangent line to the given curve at x = 3.

Q: Find the equation to the tangent line to the curve y = Vx³ – 2 where x 3 3

A: Please refer the attached image for complete solution.

Q: Find the equation of the tangent line to the curve y = + 6x at its point of intersection with the…

A: The tangent of any given function is the line that touches the curve of the function at only one…

Q: Determine the equation of the tangent line to the graph of y = y2 – x² at the points (분 ) and (블, )

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Q: Find the equation of the tangent line to y=(3x+4)3 at the point where x= -2

A: here given y= (3x+4)3 slope  of the tangent line is y'    Here y' = 9(3x+4)²   Value of y at x=-2 is…

Q: Find the equation of the tangent to the curve y = (x – 2)Vx² + 16 at x = 3.

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