Determine the equation of tangent line to the curve of the equation 3xy^2-x^2y=5x-3 at (1,1)

Q: 8. Estimate the slope of the tangent line to the curve y = -2x at x=-4, and then use it to find the…

A: Given curve is y=-2x3 To find the slope of tangent at x=-4. Solution: Differentiating the given…

Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: Find the Equation of tangent line of the function f(x)=1+csc(x)-√cos(x) at the point…

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Q: The curve given by y2+y=x3-x is called and "elliptic curve" Using implicit differentiation, find the…

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Q: The slope of the tangent line to the curve y 2x at the point 2, 16) is:

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

Q: # 3 Find the slope of the tangent line to the curve -3x²-3xy + ly = 33 at the point (- 2, 3).…

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Q: Find the slope of the tangent line to the curve y- x + 4=0 at the points (8, 2) and (8, -2) in two…

A: We will find out the required solution.

Q: Compute the derivative using derivative rules that have been introduced so far y = √(9 +x + sinx)

A: We have to compute derivative of the function: y=9+x+sin x We know the formula of derivatives,…

Q: Estimate the slope of the tangent line at the point x = 3, for f(x) = In(x). (Use decimal notation.…

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Q: Use negative differential to obtain an equation of tangent curves at a given point.

A: Solve the following

Q: Determine point(s) where tangent lines to the curve is vertical / horizontal.

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Q: tion of the tangent line to f(x) = 4 %3D

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Q: Find the slope of the tangent line to y=3x at x=0.   Show all work please

A: The given equation is y = 3x.Differentiate with respect to x on both sides,(dy/dx) = 3x ln(3).

Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: To determine the equation of tangent line to the given curve at point (1, 0).

Q: 6. Find the tangent line and normal line to curve y = x3 - 3x2 - 2 at point (1, -4)?

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Q: What is the slope of the tangent line to the curve y = 2sin 4x at x = 4

A: Given, The curve  y = 2sin4x   We have to find the slope of the tangent line to the curve at x = π4.…

Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

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Q: Find an equation of the tangent to the curve x+ Vy = 3 at point (4, 1). [Hint: Use implicit…

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Q: Compute the derivative using derivative rules that have been introduced so far y = ex-12

A: To differentiate y=ex-12, with respect to x, apply the exponential rule of differentiation,…

Q: For the curve 3e arcsin (y) + 2 (x² + y²) = 2, find the slope of the tangent line at the point…

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Q: Find the slope of the tangent line drawn to the graph of 2x2−xy−y3=5 at the point (2,1). Enter exact…

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Q: Find the slope of the tangent line to the curve 4x + lay- ly = 88 at the point (3, - 4).

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Q: Find the equation of the tangent line to the curve y = x2 at the point (-2, 4). Sketch the graph of…

A: The slope of tangent to a curve at a point a,b is given as, mtangent=dydxa,b The equation of line…

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

A: Given : y= x √(x²+5)  To find tangent line equation, we need to find differentiation of this…

Q: Find the slope of the tangent line to the curve - 3x² – 3xy - 4y³ = 265 at the point (1,4).

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Q: The slope of the tangent line to the curve y = 3 3 at the point (5,2) is: X -

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Q: Find the equation of the tangent and the nirmal to the curve y=5x4 at the point (1,5)

A: Given curve,  y = 5x4  To find the equation of tangent and normal at the point (1, 5)

Q: Find the point(s) on the curve where the tangent line is horizontal i.e. slope is zero). 3 (x+x²' f…

A: Solution below  Slope is zero at a point where dy/dx=0

Q: Calculate the derivative at the point (0,0) of the function given by the equation x=y−2siny.

A: We differentiate both sides with respect to x

Q: find tangent line to the curve y=3x/7-x at a point of (-3,2/7)

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Q: Find the slope of the tangent line to the graph of x4 + 5xy - 12x + 11 = dt at the point (1 , 0) on…

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

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Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

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Q: Find an equation of the tangent line to the curve y = 2x2 + 3 that is parallel to the line 8x – y+ 3…

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Q: ex + siny = cos(x³y²) %3D

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Q: Describe the tangent line at an arbitrary point on the “curve” y = 2x + 8.

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Q: Find the equation of the tangent line to the curve y = In(x³ – 63) at the point (4, 0). Tangent Line…

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Q: Find the points on the curve y=2x^3 + 3x^2 -12x +3 where the tangent line is horizontal.   (x,y) =…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x2 - 8x + 1, (5, 11) y =…

A: To find: The equation of tangent to the curve y=2x2-8x+1 at 5,11. Given: The equation of curve is…

Q: Find Oun equation of the tangent Lime to the curve given by - equation x³_ 3y - xy² = - 3x at point…

A: The tangent is the line that just touches the function at a single point. In this problem, the…

Q: What is the slope of the tangent line to the graph of y = x^2 + 1 at the point (0, 1)?

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Q: 7. Find the slope of the tangent line at point (-2,2) on the curve flx) = 2x² + 3x. %3D

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Q: Find the slope of the tangent line to the curve y=4x^3-x at x=1. What is the equation of the line…

A: Given: The equation of a curve is y=4x3-x . The slope of the tangent to the curve at the point x=1…

Q: Determine the slope of the tangent line to the curve (x² + y² – 2x)² = 2(x² + y²) at (2, 2).

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Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e'. =-e?. Equation:

A: As we know that the equation of the tangent line is: y-y1=mx-x1 Where 'm' is the slope. Given:…

Q: ind an equation of the tangent line to the curve at the point (3, 4).  y=(x-1/x-2)+2

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Q: Determine the slope of the tangent line to the curve y=2 – x2 at the point (3,-7)

A: slope of tangent = slope of given curve  step 1  we have to find slope of curve  slope = dy/dx  so…

Q: Find the derivative of using first principle?

A: we have to find first derivative of y by using first princple

Q: 1+ In ху 3D e*-У, (1, 1) ex-y, ||

A: Given : 1+lnxy = ex-y