differentiation- Can you have an y variable in your answer,

Q: Differentiate x²-2x+y2 =24

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Q: (first derivative) y=Cie2x + C2e x + x (second derivative) y=Cie2x + C2e-x + x (final answer)…

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Q: value of x?

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Q: Standard equation

A: Derivation of the standard equation of the parabola

Q: Problem: Solve the derivative of the function f(x) = V-

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Q: CABANATUAN CITY Find the derivative of each function using implicit differentiation. 10. 3y +7x =x2…

A: 10. 3y4+7x=x2+y-311. 2x3y-3y3x+x2y2-2=012. 1x3y3+4y2x=-xy2

Q: 2 QX = X² x + 2

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Q: tionship between x and y.

A: Linear Eq: 9.x=1,2,3,4,5y=f(x)=2,4,6,8,102y=xSo, this is the requiredequation of line.

Q: Find an equation for the line that is tangent to the curve y = 3x'- 3x at the point (1,0). The…

A: The given function is  f(x) = y = 3x3 - 3x To find the equation of the tangent passes through (1, 0)

Q: y : (x² – 3x)³, find y'" х

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Q: Find the derivative of the function. y =    8x2 − 5 2 − x   3    y' =

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Q: calculus Find the equation of the tangent line to the graph of f(x) = 4 - x2 at point (1,3).

A: given   f(x) = 4 - x2  point ( 1 , 3 )

Q: Use the implicit differentiation of the equation to determine the slope of the graph at the given…

A: From the given problem:   y2=x3+22 ; px,y→3,-7   Now differentiate the given function with respect…

Q: differentiation y = (x^2 - x + 2)/sqrt(x)

A: Given,

Q: Direction: Find the equation of the tangent line to the function at x=a. 1. у %3D Зх-1 at x = 9 x+2…

A: We know, the equation of the tangent line to the function f(x) at x=a is given by y-f(a) =…

Q: 3(x^2+y^2)^2=100(x^2-y^2); (4,2) write the equation for the tangent line

A: Find the equation for the tangent line3(x^2+y^2)^2=100(x^2-y^2)   at  (4,2)

Q: estion Four: Find the second derivative of x = tan (y)

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Q: e equation implicitly defines y as a differentiable function of >

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Q: eliminate the constant using any methods (by isolation of constants or by differentiation and…

A: Given: xsiny - ycosx = c We are using the method of differentiation to eliminate the arbitrary…

Q: Differentiation#29

A: Given,

Q: Find y" by implicit differentiation. 2x3 + 3у3 3 2 -4x y" = 3y2 Need Help? Read It Watch It

A: We have to solve the derivative

Q: Line IB and line IA are both tangent lines. IB = 2x - 5 and IA = x + 15. Find the value of x. x+15…

A: from a given point length of tangent is equal.so IA=IB.so x+15=2x-5,x=20

Q: Implicit Differentiation In your own words, state the guidelines for implicit differentiation.

A: Implicit differentiation Example- Implicit differentiate: xy=1  Let y be a dependent variable on x…

Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

Q: ∫10x9−12x3−5 dx Evaluate indefinite anti-differentiation

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Q: Direction: Find the equation of the tangent line to the function at x=a. 3. y = V5x + 4 at x= 1 4. y…

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Q: y = (x + 2)

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Q: Find an equation for the line that is tangent to the curve y = 5x - 5x at the point (1,0). The…

A: Our Aim is to find an equation for the line that is tangent to the curve y=5x3-5xat the point (1,0).…

Q: general form

A: Maximum Likelihood Estimation   So far, we have discussed estimating the mean and variance of a…

Q: Find an equation of the line tangent to the graph of f(x) = 2x° at (1,2). The equation of the…

A: We will find required equation of  line tangent in the following step.

Q: Find the equation of the tangent line to the curve y = (x- 1)°(x+ 3)² at the point (2,25). The…

A: Firstly ,find the derivativw of y and then put the value of x coordinate of point to find the slope…

Q: can you explain the whole process, step-by-step? like in an essay type. how did they find the first…

A: Here the question is to find the first and second derivative of the function f(x) = 12cos2x. To find…

Q: arcsin x dr

A: Consider the integral  ∫arcsinxdx

Q: Find an equation for the line that is tangent to the curve y = 2x - 2x at the point (- 1,0). The…

A: Consider the curve  y=2x3−2x Point (-1,0)

Q: Direction: Find the equation of the tangent line to the function at x=a. 5. y = 2x³ + 4x²+7x-9 at…

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Q: y = - cot !

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Q: y= cos(e-12)

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Q: (c) Use differentiation rules to verify your answer in part (a)

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Q: sec2 x 2. csc2 x = %3D sec2 x-1

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Q: Write short example of numerical differentiation. (Subject-Numerical Methods), (Handwritten Solution…

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Q: 3)y=

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Q: Use the implicit differentiation of the equation to determine the slope of the graph at the given…

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Q: Problem: Solve the derivative of the function f(x) = Vĩ -+

A: Given: fx=x-1x+ex2

Q: 3 Find an equation for the line that is tangent to the curve y=2x-2x at the point (-1,0). The…

A: Given.

Q: sec20 csc 20 sec (20) = csc 20- sec2e

A: Solution: The objective is to prove that the given identity

Q: Find an equation of the line tangent to the graph of f(x) = 3– 7x at (-4,- 109). The equation of the…

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Q: Sketch linear equation 2 X + 3 y = using any methods (table, y-intercept ane slope, etc).

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.