3. Find (a) the derivative , y dy 4 -32x %3D (b) find the slope of the line tangent at x=4 (c) find equation of the line tangent to the curve at x=4.

Q: 3. Find the equation of the tangent line to the curve y = x2 – 3x + 4 that is perpendicular to the…

A: As per the company's guidelines,  we are supposed to solve first question for you,  kindly repost…

Q: 8. Find the equation of the tangent and normal to the curve y = x3 3x + 1 at x = -1. [4] -

A: We have to find the eqution of tangent and normal of given curve y

Q: Find the equation of the tangent line to the curve y = (2 + x)e¬* at the point (0,2)

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Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

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

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Q: 3. What is the slope of the tangent line to y = 4* at x = 0?

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Q: 3. Find the equation of the tangent line to the curve y = x³ at x=1.

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Q: Find the equation for the line tangent to g(x) rcos(x) at x = 0

A: Given:The function g(x) = (x cos(x))/(x+2).Obtain the tangent line for the above function at x = 0.

Q: What is b > 0 if the tangent line to y = bx at x = 0 has slope 2?

A: Our Aim is to find thr value of b given that the tangent line to y=bx-(i)at x=0 has slope 2.

Q: s) Find the equation of the tangent line to the curve y = x Vx´ +5 at the point (2,6).

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Q: Find an equation of the line tangent to the curve defined by x + 3xy+ y = 5 at the point (1, 1).

A: Given  Curve ia x3 + 3xy + y2 =5 at the point(1,1) Find equation of tangent.

Q: B) Find an equation of the tangent line to the curve at the given point y = (1+ Vx)³ at x =1 ?

A: Given curve is, y=(1+x3 )3 at x=1.  The objective is to find the equation of the tangent.     For…

Q: Find the equation of the tangent line to the graph of y = x² + 2e* at the point (0, 2).

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Q: 1) Find an equation to the line tangent to y = (x – 3) 2 at x = 0.

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Q: 1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

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Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

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Q: Determine the equation of the tangent line to the function y = 2 + xe³x + x when x is equal to 0.

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Q: Find the equation of the line tangent to the curve of x²y2 – xy + x = 1 at (1, 1).

A: Given: x2y2-xy+x=1 As we know that; The slope of the tangent line to the curve at a given point is…

Q: Find the equation of the tangent line to the curve x2 + 4y2 = 8 and parallel to the line x+2y=8.

A: Given curve is x2+4y2=8. To find equation of tangent line to the given curve which is parallel to…

Q: 4. Find the equation of the tangent to the curve y = xe* at the point (1, e):

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Q: Find the points on the graph of y = ex + e-2x where the tangent line is horizontal.

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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 an equation of the tangent line to the curve y = √ (3 + x2)that is parallel to the line x- 2y…

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Q: Find the equation of the tangent line at the point (1,−3) to the curve defined implicitly below. x3…

A: The line is tangent to the given hyperbola at (1,-3).Tangent line is a straight line.Therefore, the…

Q: 4. Find the equation of the tangent line to the graph of x3-3xy+ y2 +19 =0 at the point in the…

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Q: 1. Write the equation for both the tangent line and normal line to the curve y = 3x² – x +1 at the…

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Find the equation of the tangent line to y = 3e at x 7.

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Q: 2. Find the equation of the tangent line (in slope-intercept form) to the curve y=xvx that is…

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Q: 1. For y-In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

A: We can answer first question as per the honor policy. Please resubmit other questions to know the…

Q: 8. Find the point on the graph y = x³ where the tangent line is perpendicular to the line 3x +9y = 4

A: We have to find the point where tangent line is perpendicular to the line 3x+9y=4.

Q: Find the equation of the tangent line at the given value of x on the curve. y+xy² -22=Dx+5y; x= 5

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Q: 4) Find the equation of the line tangent to h(x) = (2-x)(x³ +4x-4) at x=1.

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Q: Find the equation of the tangent line to y = e-9* at t = 0. y =

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Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: Find the equation of the tangent line to the curve y3 + 4.xy = 9 at point (2, 1).

A: Recall: Point-slope intercept form :         (y-y1)=m(x-x1); where , m=y'(x) and (x1,y1) be the…

Q: Find the equation of the tangent line to the curve y = e - x that is parallel to the line y = 1 - 2…

A: Consider the curves, y=e-x…

Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

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Q: Find the equation of the tangent line to the curve  y^4(1-x)+xy=2 at x = 1

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Q: 2. Find the equation of the tangent line to y at x = -5.

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Q: 3. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF 5x + 2xy + 4y² = 25 AT THE POINT (1,2).

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 5. Find the equation of the tangent line to the curve y = x2 - 3x at the place where the parabola…

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Q: If xy+2e^y=2e, find the value of y’’ (second derivative) at the point where x=0

A: Sol:       Given xy+2ey=2e                                   -1                   a+x=0,…

Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

Q: Find the slope of the tangent to the curve x° + 4xy+ y² = 13 at (1, 2). The slope is (Enter undef if…

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Q: Find the equation of a tangent line to the curve y = x e2x at the point where x=1

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Q: 4. Find the equation of the tangent lines to the curve y = √x and perpendicular to the line 14x +…

A: We have to find the tangent

Q: (e) Discuss the method to find the points of inflexion of a curve without using higher order…

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Q: 6. Find the equation of the tangent line to the curve y = e when it is parallel to 2x- y=7.

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Q: 9) Find the equation of the tangent line to: y = (1+x) e*when x=0

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

A: