Find an equation of the tangent line to the curve at the given point. у 3 бx2 - х3, (1, 5) Illustrate by graphing the curve and the tangent line on the same screen. y У 35 35 30 30 25 25 20 20 15 15 10 10 х х -2 35 35 30 30 25 25 20 20 15 15 10 10 х -2 4 6. LO

Q: Find an equation of the tangent line at the given point.…

A: Given, y2ex2-16-xy-1=2Point=4, 2

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

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Q: Determine the point on the curve where the slope of tangent line to the curve is -3 or 0

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Q: Estimate the slope of the tangent line to each curve at the given point (x,y)

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Q: write an equation for the tangent line. xy= -100,- (10,-10) %3D

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Q: Write the equation of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

A: To find the equation of the tangent line to the curve y=x3+3x-8 at (2,6). Solution: We know, The…

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

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Q: Find the equation for the tangent line of the graph of 4 y = x² at (-2, 16). Equation:

A: Here we have to find the equation of the tangent line of the graph y=x4 at (-2, 16)

Q: Find the equation of the tangent line at the given point on curve.

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Q: Use the definition of the derivative to find the slope of the tangent line to the curve y= 3x^2 - 9x…

A: We have to find the equation of the tangent of the curve y=3x2-9x at the point (2, -6)

Q: Find the equation of the line tangent to the given curve with the given slope. y=x^2-7x, with…

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Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: Find the slope and the equation of the tangent line to the curve and explain briefly.  y = 2x^2 –…

A: The slope of the curve at any point  x1,y1 can be calculated by using the formula m=dydxx1,y1 ,…

Q: Describe the tangent line at an arbitrary point on the graph of y = 2x + 8

A: we have to describe the tangent line at an arbitrary point on the graph of y=2x+8

Q: find the equation of the tangent line to the curve  8x2y3-5x2+7y3 = 10(x-3y) , at point (2,-2)

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Q: write an equation for the tangent line at the given point x² + y² = 4, (/2,/2)

A: Given: An equation x2+y2=4 and point 2,2 Firstly, find the gradient of x2+y2=4 by the formula…

Q: Find an equation of the tangent line to the curve y = 9^x at the point (2,81)

A: Given the curve is y=9^x at the point (2,81).

Q: Find the slope of the tangent line at (8, -8).

A: Given- Point 8,-8. To Find- The slope of the tangent line at the given point. Identity Used- tanθ=yx

Q: Help to find the equation of the line tangent to the curve y = 6 / x when x = 3.

A: Given curve is y=6x When x=3 then y=63=2 So, point is (3,2) Equation of tangent line at any point…

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 an equation of the tangent line to the curve at the given polnt. y = 4x² – x², (1, 3)…

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Q: find the equation of the tangent to the curve y = x+2x^(1/3) through point (8,12)

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Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

A: To find the slope of the tangent to the given function at the indicated point we need to find the…

Q: Find an equation of the tangent line to the curve at the given point. у - 9х - бух, (1, 3) y =…

A: Find your answer below

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

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Q: Give an equation for the tangent line to = 1 at the y2+1 point (5,2) and sketch it on the graph. -5-…

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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: Find the equation of the tangent line that passes through point (1,2) to the graph 8y3 + x2y - x =…

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Q: Write an equation of the tangent line to the curve x2+y2-25=0 at the point (3,4).

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

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Q: Find the equation of the tangent line to the curve at the given point. Illustrate by graphing the…

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Q: Find an equation of the tangent line to the curve at the given point. y = 4x^2 − x^3, (1, 3)…

A: The curve y = 4x2 – x3, we have to find the equation of the tangent line to the curve at the point…

Q: Find the slope of the tangent line to the curve defined by 4x² + 5xy + 3yª = 98 at the point (-5,…

A: Given equation of the curve is 4x2+5xy+3y4=98.

Q: Find an equation of the tangent line to the curve at the given point y = 2x3 - x2 + 5, (2, 17) y =

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Q: Find an equation of the tangent line

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 8,  (2, 20)

A: Given, The equation of a curve is y = 2x3 − x2 + 8 at  point (2, 20)

Q: Find the slope of the tangent lines on the curve y = 6x^3 +24x^2 -39x -43 at poins (-5, 2) and (1/3,…

A: We know that, The slope of the tangent line to the curve at a given point Px1,y1 is equal to the…

Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: Find an equation of the tangent line to the graph at the given point.  square root of x + square…

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Q: 1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6 C.-7…

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Q: How many tangent lines to the curve pass through the point (1, -3)?

A: We know that slope of the tangent at any point on the curve is equal to the value of the first…

Q: Find the equation of the tangent line to the curve y = x *sqrt(x2 + 5) at the point (2,6

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Q: What is the value of the slope of the tangent line to the curve y = 2x2 + x – 3 at the point…

A: Given :-  y = 2x2+x-3 To find:- slope of tangent line at (-1, -2)  METHOD:- Slope of tangent =dy/dx

Q: Suppose the slope of the tangent line at any point is vx – 1 . What is the equation of the curve if…

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Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: Find equations of the tangent lines at the point

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Q: Find equations of the two tangent lines to the graph of f(x): x2 that pass through the point (-1,…

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Q: The equation of the tangent line to the curve X2+y2=169 at the point (5,-12) is

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Q: What is a tangent line?

A: The tangent line of a function is a straight line that passes (touches) through (not crosses or…

Q: Find the slope of the tangent line to the curve defined by 3x^3 - 7xy - 7y^6 = -1599 at the point…

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