4. Function y = sin x at the point with the abscissa x A. Point of Tangency B. The Gradient of the Tangent C. - Equation of the Tangent Line - Equation of the Normal Line

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

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Q: 4. Determine the equation of the tangent line at the indicated point a) y = cos x at x = 7 b) y =…

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Q: Find the slope of the normal line for the curve given by e* –2y=cos(y)-2x at the point (0,0).…

A: Please refer the attached image for complete solution.

Q: Find the equation of tangent and equation of normal for the implicit function y + 4xy x+y, at the…

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Q: What is the slope of the tangent line to the curve given by x=sin(y) at the point (0, 37)? O-1 O 1 O…

A: Given x= sin (y). Slope of tangent line is  = dx/dy Differentiation of sine is cos .

Q: Find an equation of the tangent line to the curve at the given point. y = 5e* cos(x), (0, 5) y =

A: Given equation - y = 5excosx           .............................(1)Let the equation of the…

Q: 2. Determine the slope of the tangent line to the curve f (x) = sin (x)cos (x) at the point where x…

A: For any given function f, the slope of the tangent line m is given its derivative. Differentiate the…

Q: The slope of the tangent line to the curve y^2 = 5x – 1 at P(1, 2).

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Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: Find the equation of the tangent line to the curve y = x + 1 cos x at the point (0, 1).  y =

A: Please refer the attached image for complete solution.

Q: 1) Find the slope of the line tangent to the curve y = sin x at the point where x=r/3

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Q: Find the equation of the tangent and the equation of the normal to the curve y = + at the point…

A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

Q: Let y(x)=1/x+3 Estimate the slope of the tangent line of y(x) at the point x=1.

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Q: differentiate the functions and find the slope ofthe tangent line at the given value of the…

A: Given:        k(x)=12+x,    x=2.

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: Find the equations of both the normal line and the tangent line. y = secx at x =n y = tan x at x ==…

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Q: 5. Find the equation of the tangent plane of sin(xyz) = x + 2 y + 3z at the point (2, -1, 0).

A: We have given the surface X,Y,Z at the point (2,-1,0). We have to find the equation of the tangent…

Q: 3. Find the equations of the tangent and normal lines to the curve f(x) = /2* +cos(x*) at(0,/2).…

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Q: 13 Find all points on the curve y=x + x° where the tangent line is horizontal.

A: the tangent line is horizontal at the point dy/dx=0

Q: Find the gradient of the curve and the equation of the tangent line at the specified point x*у' -…

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Q: Use implicit differentiation to find the critical points on the curve 27.x2 = (x² + y?)³. Plot the…

A: Differentiate both sides with respect to x.  On the right side use the power rule and the chain…

Q: 1. find the equation of the normal to the tangent line to the graph of the given equation at the…

A: The equation of the curve is given by y = x+1x The point at which the equation of the normal line…

Q: For the function f(x) = x² – 4 at the point (4, 12), find: a. the slope of the curve using the…

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Q: find equation of tangent line and normal line to the curve y = tan(x) at      (pi/4, 1)

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Q: Find the tangent line to the function y = x2 at (1,1)

A: y=x2 Differentiating with respect to x, we get dydx=2x   ∵dxndx=nxn-1 Now slope of the tangent line…

Q: Determine the gradient of the straight line which is tangent to the graph of f(x)= tan^-1(ln x) at…

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Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Given curve is y=x-1. Power rule of differentiation states that, ddxxn=nxn-1 Differentiating the…

Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x = is %3D

A: We need to find slope of normal line.

Q: Find the equation of tangent and equation of normal for the implicit function y +3xy =x+y, at the…

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Q: Find the derivative of y with respect to the appropriate variable → 49. y = cos '(x²) sin-'V2! 50. y…

A: Solve the following marked questions

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.

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Q: b) Find the equation of the normal line of curve sin x + cos y = 1 at point

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Q: Find the slope of the normal line for the curve given by e* –2y=cos(y)–2x at the point (0,0).…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

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Q: What is the slope of the tangent line to the curve y=x* at x=2.9 (use 3 decimal places, no space)

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Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: curve at the following point:  y = 2/ 1 + e-x, (0,1)

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Q: 2. Determine the points on the curve f(x) = sinx-cosx, 0≤x≤27 where the tangent line is horizontal.

A: Find out the points where the tangent line is horizontal.

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x* + 9e*,…

A: The given equation of the curve is: y=x4+9ex.   We have to find  the equation of the tangent line…

Q: 2. Write the equation for both the tangent line and normal line to the curve y = (x – 1)/( + 1) at…

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Q: Find an equation of the tangent line and an equation of the normal line to the curve y = In(x² + y²)…

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Q: Find the equation of tangent and equation of normal for the implicit function y² +4xy = x+y, at the…

A: We have to find the equation of the tangent and equation of the normal for the implicit function y2…

Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at A

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Q: 1. Given y = sin(x In.x), what is the slope of the tangent line at (e, 0)? (The red line.) 2. Given…

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Q: find the line tangent to the curve y=cos(x) at the point (π/4, 1/√2)

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Q: 5. Find the equation of the tangent line and normal line to the curve f(x)= at the point(,4).

A: The tangent line is horizontal where y'=0. So at first we differentiate the given curve and equate…

Q: A) Determine the equation of the tangent line to the curve xsin(y) – x²cos(y) = 1 at the point (1,4)

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Q: 6. Find the equation of tangent and normal for the curve xsin2y = ycos2x at

A: Given that: x.sin2y=ycos2x