Question 8 Find an equation of the tangent line to the graph of f(x) 1 at the point (2.-). - -- (A 1 V = 1 y = --X + 1 (© y = 4x – 2 y = - 4x –2 H|N

Q: 8. y = In(x²) ; (1,0)

A: From the given problem:   y=lnx2 ; p1,0   The expression for the slope of the tangent line to the…

Q: The tangent line to the graph of y = h(x) at the point ( -1, 4) passes through the point (3, 6).Find…

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Q: 4 at the point 9, is: The slope of the tangent line to the curve y The equation of this tangent line…

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Q: The point (1,2) is on the curve y=f (x), and at any point (x,y) on the curve the tangent line has a…

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Q: Find the equations of a Tangent line in a given curve to the given value of x y=tan^-1 x, x=1

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 so the point on the…

Q: Find an equation of the line tangent to the graph of f at the given point.

A: Find an equation of the line tangent to the graph of f at the given point. f(x)=sin-1(x/4), (2,π/6)…

Q: Find an equation of the tangent line to the graph of the equation at the given point : g(x) = x³ +…

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Q: Find equations of the tangent line and normal line to the curve at the given point. y = 6 cos x , (…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4x…

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Q: The tangent line to the graph of y = h(x) at the point (-1, 7) passes through the point (5, 4). Find…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 arcsin x…

A: Given query is to find the equation of the tangent line to y =4 arcsin x.

Q: 10. The slope of the tangent line to a curve is given by f'(x) = 5x + 5x -8. If the point (0,4) is…

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Q: Find the equation of the tangent lines to the curve y = sin x at x = -1, A, and Graph the curve over…

A: We have to find the derivative of the function first.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4x…

A: Here, the given curve is: y=4xcos-1(x-1)⇒dydx=ddx4xcos-1(x-1)⇒dydx=4ddxxcos-1(x-1) Using the product…

Q: 2. Find an equation of the tangent line to the graph of y =1+4 tan x at x 0.

A: Given:        y = √(1+4tanx)     At x = 0

Q: The slope of the tangent line to the curve y = 4 at the point ( 3, 4 is: 6. The equation of this…

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Q: Find equations of the tangent lines to the curve y= (ln x) /x at the points (1, )d and (e, 1/e).…

A: y=In xx,  (1,0),(e,1/e) Find y'              quotient rule :fg'=f'g-fg'22…

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: Solution; Consider the given function is: y = 2arcsin x And the point is: 12, π3 Now,…

Q: Find the equation of the tangent line to the graph of the function f (x) = sin (3,/7) at the point…

A: To determine the equation of the tangent line.

Q: An equation of the tangent line to the curve C at the point (1, 2) is y-2=-(-1) A у — 2%3 y-2=2(x-1)…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 2 arcsin…

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Q: Find an equation of the tangent line to the graph of the function at the given point. You must write…

A: y=5coshx-sinhx2,   0,5let 'm' be slope of tangent line.m=dydx=10coshx-sinhxsinhx-coshx

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4…

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Q: the equation of the tangent line to the curve at the given point. y = x² In ¤; (e, e²) :The result…

A: We can find the answer as below.

Q: 5. The slope of the tangent line at any point (x, y) on a curve is 10 – 4x, and the point (1, –1) is…

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Q: 3. Find the tangent line equation for the given function at the given point: = 3.xy at (3/2,3/2).

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Q: 21 at the point (1, 7). Find the equation of the line tangent to the graph of the function w(x) = x2…

A: Solve for the equation

Q: Find an equation of the tangent line to the graph of the function at the given point. You must write…

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

Q: 2 The equation of the tangent line to the graph y at the point (-1,2) is given by O a) y = 6x + 8. O…

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Q: х? +x tan-1 y 3 у — 1, (-%, 1) y = y – 1,

A: Let's find.

Q: Find an equation of the tangent line to the curve at the given point. X + 1 y = (5, –6) X - 6 y =

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 2 arcsin x

A: Given,          The equation of the tangent line to the graph of the function y=2arcsinx…

Q: what is the equation of the tangent line to the graph of xsin(xy) = (√2)/2 at the point (1, pi/4)

A: iven:xsin(xy)=12

Q: Find the equation of the tangent line to the graph of the equation tan-'(x + y) = x³ + at the point…

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Q: 2 If f(x) find f'(3) and us it to find an equation of the tangent line to the curve y = at ズー1 ズ-1…

A: Given function is, fx=2x-1

Q: Find an equation of the tangent line to the curve at the given point. y = 9ex cos(x),    (0, 9)

A: y=9excosx Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the equation(s) of the tangent line(s) to the graph of the curve y=x3-10x, through the point…

A: Given equation is: y=x3-10x Differentiate the equation with respect to x. dydx=3x2-10

Q: an equation of the tangent line to the graph of "f" at the given point: y=x3-3x+1, (2,3)

A: Given query is to find the equation of the tangent line.

Q: 1 Find an equation of the tangent line to the graph of g(x) =2--x at the point (2,0). Write the…

A: To find the equation of tangent.

Q: 3x (0, 1)

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Q: 5. Find the equation of the tangent line to the curve at the given point 4 X X+3 (1,1) %3D

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Q: Find the equation of the tangent to the graph y=x√(x-1) at (5,10).

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Q: 4. If f (2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

A: We have to find the equation of tangent.

Q: Question 4 Find the points on the curve y = tan æ, where the 2 2 tangent is parallel to the line y…

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Q: Find the equation of the tangent line to the graph of the function f (x) = sin (7/E) at the point…

A: The equation of line that passes through the point x1 , y1 and have a slope of m is defined by the…

Q: [Question 2] Use implicit differentiation to find at the point (2.2), on the curve x3+v² = 16…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

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Q: 3. Find an equation of tangent line to the given function at the given point: f(x) = 1+ arctan(x/4),…

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Q: 22. Find the equation of the tangent line to the graph of the equation tan-'(x + y) = x² + at the…

A: The equation is given by, tan-1x+y=x2+π4x+y=tanx2+π4y=tanx2+π4-x The slope of the tangent to the…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: