f(x) =/4-x ; (-5,3)

Q: The slope of the tangent line to a curve is given by f'(x) = 7x² + 9x - 8. If the point (0,5) is on…

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Q: Find the equation of the tangent line and the normal line at the point corresponding to the given…

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Q: Find an equation of the tangent line to the curve at the given point. y = x* + 9x? - x, (1, 9) %3=

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Q: Find an equation of the tangent line to the curve at the given point. у 3 + 5x2 — х, (1, 5)

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Q: Find the slope of the curve, equations of the tangent and normal lines to the given point. 8x y at…

A: Solution

Q: Find the tangent line and the normal line to the curve at the given point.          x2y2 = 25,…

A: x2y2 = 25,      and the point (-1,5)

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: Find an equation of the tangent line to the curve at the given point. y = 3x2 - 12x + 1, (5, 16)

A: Solve by eq

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: find an equation for the tangent line and the normal line to the curve y = x sqrt x^2+1 for the…

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Q: Find equations of the tangent line and normal line to the curve at the given point. (1, 0.25) y=…

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Q: Find all x-values where the tangent line to the graph of the function p(x)=x(2x-5)^4 will be…

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Q: Determine the equation of the tangent line and the normal line to the curve f(x)=x3 -3x2 +2x +2 at…

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Q: Find an equation of the tangent line to the curve at the given point. 2х + 1 8. у — (1, 1) x + 2

A: We know that equation of tangent line is given as - ( y - y1 ) = m ( x - x1 ) . Here 'm' is slope of…

Q: Find the equation of the tangent line and the normal line of the curve at given point: 1. y? = ,…

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Q: x4 3x2 at x = 2 y = 4 2.

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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 an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

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Q: The equation of the tangent line and the normal line to y = x² – 4x +

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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 an equation of the tangent line to the curve at the given point. y = x + (3, 4)

A: This question is based on application of Derivative.

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

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Q: The slope of the tangent line to a curve is given by f'(x) = 7x+9x- 7. If the point (0,8) is on the…

A: Step:I   Given;    equation  of tangent line to a curve given by:     f'x=7x2+9x-7  and  point on…

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: 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 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 the slope of the tangent line to the graph of the function at the given point. g(x)=x+1,…

A: Given- g(x)=67x+1 , (-7,-5) To determine the slope of the tangent line to the graph of the function…

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

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

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 an equation of the tangent line to the graph of ​f(x)=ex​, where x=−0.3.   The equation of the…

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Q: Write an equation for the tangent line to g(x) at x = 2 if g(2) = 7 and gʻ(2) = –3.

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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: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: We can find the equation of tangent line as below.

Q: Find an equation for the tangent line to the curve at a given point g(x)= 4 divided x+3 ; P(-5,10)

A: gx=4x+3P-5,10

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: y = √√2x, x=2 yaxis 17 x-axis

A: Given that y= √(2x) and x= 2 and we find equation of tangent line and normal line at the given…

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. у %3 бех + х, (0, 6)

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Q: Find an equation of the tangent line to the curve at the given point. y = x3 – 2x + 1, (4, 57)

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Q: How do you find the equation of the tangent line of the given value of x.

A: Calculation:Compute the value of f(x) at x = 4 as follows.f(4) = 2 − √4f(4) = 0.Now differentiate…

Q: Find an equation of the tangent line to the curve at the given point. y = x3 - 2x + 1, (3,22)

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Q: Find an equation of the tangent line to the curve at the given point. y = x3 - 2x + 1, (3, 22) y =

A: y = x3 - 2x + 1 ( x1 , y1 ) = ( 3, 22 )

Q: Find the equation of the tangent line and the normal line at the point corresponding to the given…

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Q: Find an equation of the tangent line to the curve at the given point y = x3 - 2x + 2, (2,6) y =

A: From the given data:

Q: Find the slope of the curve, equations of the tangent and normal lines to the given point. y = x3 –…

A: We have to solve the problem

Q: Find an equation of the tangent line to the curve at the given point. y = x* + 8x2 – x, (1, 8) y =

A: Given: y=x4+8x2-xPoint (1,8)

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) = -xe…

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Q: Find the slope and equation of the tangent line 1. f(x)= -3+2x+x2                    (3,12)

A: f(x)=-3+2x+x2,(3,12)

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. x? + y? -…

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