Find , where y is defined as a function of x implicitly by the equation below. dz' 2y5 - 2ry = -2 Provide your answer below: -口 ||

Q: Find the equation of the tangent line at x = 7 for f(x) = 6 - x². Write the answer in the form y =…

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Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b

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Q: Without solving, match a solution curve of  y'' + y = f(x)  shown in the figure with one of the…

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Q: Find the derivative of the function. 8y9 y= In V+9 6.

A: The solution are next step

Q: Find the derivative of the given function by definition 6" y 5xar+1 + 3r

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Q: For what value of x does the tangent line to the curve y=7+3e^x−6x  is parallel to the line 8x−8y=9?

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Q: Let f(x) = x* – 2x + 14. Then the equation of the tangent line to the graph of f(x) at the point (1,…

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Q: If f(x) = x° – 5x + 1, find f'(1) f'(1) = Use it to find an equation of the tangent line to the…

A: Given function, fx=x3-5x+1 Tangent is passing through (x1,y1) (1,-3).

Q: 2 5. x=- 1+t2 2 y=, t(1+t?)

A: Given: x=21+t2, y=2t(1+t2).

Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x)…

A: We know, ∫xndx= x(n+1)/(n+1)

Q: 3x The equation of the line tangent to f(x) 1 at x = – 2 is x + 3 y = 10x +

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Q: b) Find f(1) and find the equation of the tangent line at the point (1, f(1). c) Graph y = f(x) and…

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Q: Find the equation of the line tangent to the curve y = cos(2x) at the point where 3

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Q: Find of the function given implicitly and evaluate the derivative at the given point. y = sin ( 8x+…

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Q: Find the equation of the tangent line to the function f(x) : a3 + a? - x – 3 at the point where x =…

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Q: Find the slope of the line tangent to the curve at the given point. y = 3 cos x; x = 3 3/2 2

A: 1) Find the first derivative of f(x) 2) Plug x value of the indicated point into f'(x) to find the…

Q: Find the equation of the line tangent to the graph of f(x)=4cos(x) at x=−π/3 Give your answer in…

A: Given :f(x) = 4cosx at x = -π3We will find the equation of tangent line

Q: 1. For the function f(x) = 2x? + 7x – 3, - (a). Find the slope of the tangent line at x = 2. [1Mark]…

A: The answers are : (a)  15  (b) y = 15x - 11   The detailed solution is as follows below:

Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d.…

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Q: Q1) A) Find the tangent equation for the function f(x) = Vx² + 5 at =2 ?

A: To find  The tangent equation for the given function

Q: Determine the equation of the line that is tangent to y = 2 tan x, where x = 4. O-4x + y - (2-) = 0…

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Q: Consider the following. y' = V 4x - 3 %3D Find each indicated derivative. y" y(4) %3D %3D %3D

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Q: Find an equation for the tangent line to the graph of the function F(x) = V3x2 + 9 at the point (3,…

A: To find the equation of tangent of given equation.

Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

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Q: Find derivatives of the function defined as follows.

A: Consider a function y is defined as, yx=fxgx The derivative of the function or simply y' is…

Q: At the point where x = 0, the tangent to f(x) =e* +px+q has equation y = 5x-7. Find p and q. %3D

A: slope of tangent to curve f(x) is f'(x)

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 to the function f(x) = 4*(x– 2) at x = 2. (a) y =…

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Q: Determine an equation for the line tangent to the function at x-e. O Al y--) TT O B) y--) 1 (x -e)…

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Q: 44. y (x +1)Vxr² +2 45. у 3 17-3x 46. x = Vz+1

A: Given 44 y=x2+1x2+2345 y=x7-3x46 y=z-1z+1

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

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Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 +5 at =2?

A: The given function is; f(x) = √(x2+5)

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x² + y²)² = 25(x² – y?) at the…

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Q: Find an equation for the line tangent to the graph of f(x) = 7re %3D at the point (a, f(a)) for a =…

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Q: Find the equation of the tangent line to the graph of f(x) at the (x, y)-coordinate indicated below.…

A: We have to find the equation of tangent line

Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

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Q: Find the derivatives of the functions defined as follows. y=12tan(9x+1)

A: Given: y=12tan9x+1

Q: Q1) A) Find the tangent equation for the function: f(x) = vx2 + 5 at =2 ?

A: The equation of the tangent using the slope intercept is y=mx+b Where 'm' is the slope of line and…

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

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

Q: The derivative of the function y = 2* sec(x²) is:

A: I use product rule and chain rule to solve this derivative

Q: Find the equation of the line tangent to the graph of f(x) = −3cos(x) at x = −π/3   Give your…

A: First, find the point of tang-ency. We know the x value we now have to find y value  Substitute in…

Q: For what value or values of the constant k will the curve y = x3 + kx2 + 3x - 4 have exactly one…

A: Given curve is y=x3+kx2+3x-4. A curve have exactly one horizontal tangent  at x=a if f'a=0.…

Q: Let f(x) = 4x + 10 – 19e". Then the equation of the tangent line to the graph of f(x) at the point…

A: Let fx=4x+10-19ex. Then the equation of the tangent line to the graph of fx at the point 0, -9 is…

Q: For the function f(x) = x² + 7, find the equation of the tangent line at x = -1. Answer: Submit…

A: Let's find.

Q: - Find an equation of the tangent line to the curve sin(r+y) = 2y – 21 at the given point (-7, –x).

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Q: If f(x) = 9x^2 - x^3, find f’(2) and use it it find an equation of the tangent line to the curve y =…

A: Givenf(x)=9x2-x3

Q: If f(x) = 2x2 - ax - a, b, c ER, then a +b – c=? 4 and the equation of the tangent line to the curve…

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Q: 3w + w R(w) = 2w2 + 1

A: 1. Use the quotient rule ddxuv=vu'-uv'v2 to differentiate Rw=3w+w42w2+1 with respect to w. Here,…

Q: Find the equation of the line tangent to y = sin(x) going through 4

A: Given, y=sinx                 ...(1) At x=π4 Put x=π4 in equation (1) y=sinπ4y=22 Thus, the pointπ4,…

Q: ed at (2,1) is Assuming that y is defined implicitly by the equation ²-2-58, the derivative

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