Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx+2

Q: Find the derivative of y with respect to x. 4. (x² - y²)² = 4ay²

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Q: Find an equation for the line tangent to the graph of f at (2,15), where f is given by…

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

A: Chain Rule : (fg(x))' = f'(g(x)).g'(x). d(ax+b)ndx = n.a(ax+b)n-1 dtanxdx = sec2(x)

Q: Find the equation of the tangent line to the function f(x) = e*-1 In(x + 1) when x = 0.

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Q: (a) If F(x) = 6x/(2 + x2), find F '(2) and use it to find an equation of the tangent line to the…

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Q: Find all points (x, y) on the graph of f(x) = x - 3x + 8x + 23 with tangent lines parallel to the…

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Q: Find the equation of the line tangent to the curve f(x) = 2/(x+2) at x=0

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Q: . Find the equation of the tangent to the curve f(x) = 2x + 3x – 2x + 3 at the point where x = 1.

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Q: Find the equation of the tangent line to the curve f(x)= x2 +5x when x=1.

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Q: The equation of the tangent line to the graph of f(x) = Vx+1 At the indicated point (3,2) is:…

A: By using the derivative and slope intercept form required tangent equation is :

Q: Find the derivative of the function. A y = 7tan-(x - V1 + x²) %3D (2* * I^ -

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e* +…

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Q: find an equation of the tangent line at the point indicated. f (x) = 6x , x = 2

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Q: Find the equation of tangent for the implicit function x3 - xy2 + 3y2 + 4 = 0. at the point (1, 2)

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Q: Find the equation of the tangent line to the curve f(x) = x* - 9x2 + 2 at the point x=1.

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Q: The equation of the line tangent to f(x) = (x² – 9) (2x – 1) at æ = 2 is y = 2x –*

A: Given that: f(x)=(x2-9)(2x-1)

Q: Find all points (x, y) on the graph of f(x) = x° - 4x + 15x + 10 with tangent lines parallel to the…

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Q: Find the equation of the tangent line to the function f(x)=2x^2−9 at the point where x=−6. Give your…

A: Calculate the derivative of the function at given point than write the equation of tangent line.

Q: Find the equation of the tangent line to the function y = 2x – 4x + 3 at the point where x = 1.

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Q: Find the derivative of the function y=2x+12x−1 at x=1.

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Q: Find the derivative with respect to x of 1 f(x) V3x + 9

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Q: Find the equation of the tangent line to the graph of the function f(x) = v2x² + 1 at the point…

A: Given that: f(x)=2x2+1        at point (2, 3)

Q: Find the equation of the tangent line to f(x)=−2x−4x^−1/2+3 at the point (4,−7).

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Q: Find an equation of the line tangent to the graph of the function: f(x) = V2x² – 1 at point P(-1;1).

A: Given:- f(x) = (2x2-1)(1/3)  To find:- Equation of tangent line at point p(-1, 1) on given curve

Q: Find an equation for the line tangent to the graph of…

A: Given function is fx=-2xex To find: Th equation of tangent line at point a,fa for a=2 Solution:…

Q: Find the equation of the line that is tangent to the graph of the functio f(x) = x+1 at the point T…

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Q: Let f(x) = (x - 12) / (2x + 6) Find an equation for the tangent line to the graph of f at x = 2 y =…

A: We find f'(x) first using quotient rule

Q: Find the equation of the tangent line to f(x) =x2-3x+1 / 2x-1 at the point x = 5.

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Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

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Q: Find an equation for the line tangent to the graph of f(x) = 2xe %3D at the point (a, f(a)) for a =…

A: f(x) = 2xexslope of tangent will be calculated by differentiation function f(x) at given point.f(x)…

Q: Find the equation of the tangent line on the curve f(x) = V5x + 6 at x = 2.

A: Proceed as shown below...

Q: If  F(x) = 12x/(3 + x2),  find F '(3) and use it to find an equation of the tangent line to the…

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Q: Find the equation(s) of the tangent line to the graph of f(x) = x² +1 passing the point (3, 1).

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Q: Find the equation of the tangent line to the function f(x)=2x2-x  at the point where x=−1. Give your…

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Q: Find the equation of the tangent line to f(x) = x^2 −3x+5 at the point x = 3.

A: Given function , fx= x2-3x+5 at the point x=3 ,at x=3 , f3= 32-3x3+5             f3=9-9+5=5Hence ,…

Q: b) Determine the equation of the tangent line to the grap f(x) = 2x² – x + 5 at the point where x =…

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: Find an equation for the line tangent to the graph of f at (1, 14), where f is given by f(x) = 30 -…

A: Please refer the attached image for complete solution.

Q: Find the equation of the tangent line to the function f(x) = -3x – 2x2 – 1 at the point where x =…

A: Given : fx = -3x3 -2x2 -1

Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0).…

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

Q: Find the equation of the tangent line to the function f(x)=x3+3x2+x+4 at the point where x=−2. Give…

A: we have to find tangent line at x=-2given

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 12 e* +…

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Q: Find the equation of the tangent line to f(x)=4x+x^−1/2+1 at the point (4,35/2)

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Q: What is the equation of the tangent line to the curve f(x)= 4x2 + 2x -1 at the point x=0 ?  a.)…

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Q: Find an equation for the line tangent to the graph of: f(x)= 2xex at the point (a,f(a)) for a=2.

A: Given curve Now, we find f'(x) We know that slope of tangent line to the curve y=f(x) at point x=a…

Q: Find the equation of the line tangent to f(x)=3/(2x+1)at the point (1, f(1))

A: Given function is  fx=32x+1

Q: Find the equation of the tangent line to the function f(x)=−x^2−3x+4 at the point where x=−3

A: The given function is: f(x)=-x2-3x+4