The derivative is the slope of the tangent line at any point. Find the equation of the tangent line to the graph y = 3x +2xat the point (-2, 8).

Q: Find the equation of the tangent line to the curve x' + y' = 6xy at (3,3). Write the equation in…

A: Given the curve x3+y3=6xy We need to find equation of the tangent line to the given curve at (3,3)…

Q: use the definition of a derivative and use it find and equation for the tangent line to y=2x2+2 when…

A: Equation of the tangent line: - We know that the equation of a line with slope 'm' that's passing…

Q: find the slope of the tangent to the curve y^2+X^3+4=0 at (-2,2)

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Q: Find the equation of the curve for which y"= 2x³. The slope of the inflectional tangent at (-1, 3)…

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Q: For the function, find the point(s) on the graph at which the tangent line has slope 9. y = -…

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Q: Find the slope of the tangent line to the curve defined by x2 – 3xy – 3y = -84 at the point (-6, 4).…

A: To find the slope of the tangent line to the below curve the point (-6,4)

Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 – x2 + 2, (2, 22) y =

A: Given curve and points are: y=3x3-x2+2  , 2,22

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: Slope is derivative of y with respect to x. And equation of tangent is (y-y1) =m(x-x1).

Q: Find the slope and an equation of the tangent line to the graph of f(x) = 2x + sqrt(x) the point (1,…

A: Given line :

Q: Use the definition of the derivative to find the value of f'(2) if f(x)=x'-2x. Then use it to write…

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Q: Find the slope of the tangent line to the curve 3x? – 3xy – 2y = - 92 at the point (- 2, 4).

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Q: Find the slope-intercept form of the equation of the tangent line to the curve defined by x-2 3…

A: Equation of tangent line at the point (a,b) of the curve y=f(x) is f(x)-f(a)=f'(a)x-a

Q: Find the derivative, the slope of the tangent line, and the equation of the tangent line at the…

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Q: Find the equation of the tangent line to the graph f(x)=x^4 +2x^2 -x at x=1. Write your equation in…

A: Equation of tangent line to the curve fx at point x=a is given by y-fa=f'ax-a Given curve is…

Q: The derivative is the slope of the tangent line at any point. Find the equation of the tangent line…

A: The given equation is y=3x2+2x and the point is -2,8

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the…

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Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

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Q: Find the values of X where the tangent line is horizontal. +(x)=x"-4x?-8x+9 2.

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Q: Find the slope-intercept equation of the tangent line to the graph of f(x) = x2 at (-3, 9).

A: Consider the following function: fx=x2 Differentiate fx with respect to x: ddxfx=ddxx2f'x=2x…

Q: Use the definition of the derivative to find the derivative of the function f(x) then find the slope…

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

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Q: 2. At what point is -3 the slope of the tangent line to the curve y x+3x -7.

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x? – y2),…

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Q: The equation of the tangent line to the curve 교+f -25, at (8,-12) is

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Q: Find an equation of the tangent line to the graph at the given point. (x +2) + (y- 3) = 37, (-3,-3)

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

A: to find the slope differentiate  the y with respect to x.

Q: Find an equation of the tangent line to the curve y= 10xat the point (1, 10).

A: Given: y=10x for finding tangent of given curve at given point we need slope m of tangent at given…

Q: find an equation of the tangent line f(x)=x+(6/x)    points (x,y)= (-6,-7)

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Q: Find an equation of the tangent line to the curve at the given point. x + 5 y = X - 4 -* (3, -8) y =

A: Solution: The objective is to find an equation of the tangent

Q: Find the slope of the tangent line to the curve -x^2+2xy+2y^3=-10 at the point (-4,-1).

A: Slope of tangent line = dy/dx at the point (-4,-1)

Q: Find an equation of the tangent line to the curve at the given point. y = Sqrt(x) (81,9)

A: Consider the given function:

Q: where x = 6.

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Q: Find the equation of the tangent to the curve y = 2x2 - 5x + 3, where x = 2.

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Q: What is the equation of the tangent line to the curve at the point on the curve where x = - 2? (The…

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Q: Find the slope of the tangent to the curve y = 3 + 4x – 2x' at the point where x=a. Draw the graph…

A: For finding slope we find dy/dx and put x=a

Q: Find an equation of the curve whose tangent line has a slope ofƒ′(x) = x2/3,given that the point (1,…

A: Given: f'x=dydx=x23 For finding equation of curve, we will use variable separable method So,…

Q: Use the definition of the derivative to find the slope of the tangent line to the graph of the…

A: Consider the function  fx=43x+7point : −3,3

Q: Find an equation of the tangent line to the curve at the given point. у %3 4х — Зx?, (2, —4)

A: The objectives to find the equation of tangent line to the curve at the given point.

Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

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Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as  dy/dx

Q: Find the slope of the tangent line to the curve – 32? + 4xy – 3y3 - 236 at the point ( - 2, 4).

A: Given curve is   -3x2+4xy-3y3=-236  Formulas used: ddxxn=nxn-1ddxconstant=0ddxu·v=vdudx+udvdx…

Q: Find an equation of the tangent line to the curve at the given point. y =√(4-77x) ,  (−1, 9)

A: We have to find tangent

Q: Find an equation of the tangent line to the curve at the given point. y = 2x2 - 6x + 1, (4, 9) y =

A: First find slope at given value then equation of tangent line

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of…

A: Please see the answer below.

Q: Find an equation of the tangent line to the curve at the point (3, 9). X- 1 y = + 7 X - 2 y =

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Q: Find the equation of the tangent line to the curve y = (1 + 2x)² at the point (4, 81). ソ=

A: First find the slope of the tangent line with the help of derivative of the given curve than write…

Q: .. The slope of the tangent line at any point (x, y) on a curve is given by (x + 2)3 + 1. If the…

A: Explanation of the answer is as follows

Q: Find an equation of the tangent line to the curve at the given point. y = 3x2 – x³, (1, 2) y =

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Q: Find the equation of the curve at every point of which the tangent line has a slope of 4x

A: This is a problem of tangent line equation. Slope of the tangent line is equal to the slope of given…

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of…

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