Determine whether the equation defines y as a function of x X^2-4y2=1

Q: 7. уз y =/x³ – 1/1+ vx

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Q: Find the slope of the secant line to the function f(x)=x3 when x=1 and x=2.

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Q: Write the equation of the line tangent to the graph of (x) at x=-1. f(x)=2x2+7x

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Q: V2 – 3x4 1 x² -4

A: We have to find the derivative

Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

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Q: evaluate the derivative of 3x^2+y^2x=9

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

A: Find the equation of line

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

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Q: Find the derivative of the function. f(x) = 2- 5x-, - 6 f'(x) =

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Q: Use the derivative to explain why the function f(x) = x³ + x³ is a one to one %3D function.

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Q: Calculate the derivative of the exercise: y=(4x3+3)4(x+1)-3

A: To find: The derivative of below expression.

Q: Calculate the derivative. f(x) = x 3/2(2x 4 - 3x + x - 1/2)

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Q: write the equation of the tangent and normal line line of the curve. huow soution your 2. f(x) x2-4x…

A: Given :                      f(x) = x2 - 4x + 6 Differentiate,                     f'(x)  = 2x - 4…

Q: Find the equation of the tangent line to the graph of f(x)=-3x2-5 at the point (2,-17). Write your…

A: Given function    f(x) = -3x2-5Differentiating ,  f'(x) = ddx(-3x2-5)…

Q: Find the derivative of sech(2x1/9)

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Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

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Q: 2х-у x3 x+3

A: The given function is x3=2x-yx+3y

Q: Differentiate the function y=sinx2+3x3.

A: Given: y=sinx2+3x3 we know that ddxsinx=cosxddxxn=nxn-1

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 the first and second derivative y=(4x3/3)-x

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Q: Find the derivative. y = 2x-3/4 - 3x-7/6 + 12x-5/3

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the derivatives of the functions in Exercis y = (2x - 5)-1(x2 - 5x)6

A: Given function - y = 2x-5-1x2-5x6y = x2-5x62x-5               ........(1)  Identity to be used -…

Q: Find the derivative of the function. 2 + 4x – 9Vx – 10 y = 10x5 %3D - x3

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Q: Find an equation of the line tangent to the graph of f(x) = 1-7x at (-5,- 174).

A: The given function is:fx=1-7x2The coordinate is -5, -174To find equation of tangent line

Q: Calculate the derivative of the function y=6x100+7x50+8x.

A: To calculate the derivative of the function y=6x100+7x50+8x

Q: Use implicit differentiation to find: x2y+xy2=-2

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Q: Determine the points at which the graph of the function has a horizontal tangent line. x2 f(x) х— 7…

A: The objective is to determine the points where the graph of function has horizontal tangent line.

Q: If 4-x2 + 3-x+x -y= 4 and y(4) =-18, find y' (4) by implicit differentiation.

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Q: Find the derivative of the function, Simplity andexpress the answer positive exponents only. using

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Q: Determine the equation of the line tangent to the graph of f ( x ) = 3 x 2 − x + 4 at x = − 1.  Give…

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Q: Find the slope of the line tangent to the graph of the function defined by f(x) = 3x2 – 4 at (1,…

A: Solution:Given        f(x)=3x2-4   at (1,-2)To find:Slope of the line tangent to the graph The…

Q: Calculate the derivative indicated.

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Q: Find the derivative of the funcion. y=x-17 +63x+6

A: y = x3-17x2+63x+6 y'=dydx=ddxx3-17x2+63x+6 Here we are gonna use the formula  ddxxn=nxn-1

Q: Use implicit differentiation to find and 8Vy =x-y

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Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: Find an equation of the line that is tangent to the grapt Function Line 4x-y+2 = 0

A: Since, we have been given up the function:-f(x)=2x2 -(i)Differentiating equation-(i), with respect…

Q: Find the equation of the line that is tanget to f(x)= sqrt(x+1) at the point (8,3).

A: The given function is

Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: Find the equation of the line tangent to the graph of f(x) = x² + = - 9 at x = 7. y = help…

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Q: Use implicit differentiation to find y". y2 - x² = 6

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Q: Write the equation of the line tangent to the graph of the function at the indicated point.  y =…

A: Given

Q: y = csc(3x² – 2) 4.

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Q: Find the function whose tangent line slope is 3 and whose graph passes through (1,-1)

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Q: Determine the line tangent to f(x) = 2x2 + 3x + 1 at (-2, 3).

A: The tangent line to a curve at a given point is the line which intersects the curve at the point and…

Q: Find the derivative. y= 4x²e- x- y%3D4X

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Q: 2. 2x +1 %3D 2.

A: We have to find the derivative of y

Q: Find the derivative of f (x) = – 5x 5z) (-² + 6x – 6 ) . -

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Q: with positive exponents only

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Q: Find the first and second derivative y = (4x3 /3) -x

A: Find the first and second derivative y = (4x3 /3) -x

Q: Find the equation of the line that is tangent to the graph of y= x^3 +4/x^2 at point (2,9)

A: The equation of tangent line to y=f(x) at (x0,y0) is y-y0=f'(x0)(x-x0)