which of You have been given the following cases: For them do the given functions form a fundamental, set of for the corres. ponding differential can more Solutions equation on the indicated interval? There right answer than Ohe Toption 1 2x g"¹-8y₁+12y = 0; 5e³x, 5e ²% (-∞0,00) 3 option 2 42 g"-14¹ +499= 0; 6e72, 4xe 4x₂ (-00,00) (Option 3 2 x²y" - 10xy' + 30y = 0; 4x6,2x7, (0₂0) be

Q: 74. Which of the following represents the nth derivative of y=(1-x)/(x-2) ? A. (-1)^(n+1)…

A: To find: nth derivative

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Q: In this post, you will use the first and second derivatives of a function (along with a few other…

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Q: 9. y- 6r - 10r - 5

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Q: The derivatives of the function f(x) = cos(3x²) that follow are incorrect. What misconception occurs…

A: Question number 6th  is not properly visible so we will be answering only 8th question.

Q: The equation of a curve is y =x'+ax + bx, where a and b are constants. (1) In the case where the…

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Q: dy Find by implicit differentiation. dx 8x? = 5 - ey dy %D dx (Type an exact answer.)

A: Consider  8x2=5-ey

Q: Find the indicated derivative. x2 dz for z = x? + dx 1- x - 5x2 2x – x2 — х dz 2x + (1-x – 5x)2 dx…

A: As per our policy, I can not answer multiple questions and a graded one. Since you have asked for…

Q: tan '(z*), , Find

A: The objective is to find ddxtan-1x4x=1 Use the formulas: ddxtan-1(x)=11+x2ddxxn=nxn-1

Q: As you did in exponential derivatives, your task is to find a formula for finding the slope at any…

A: We have to find a formula for finding the slope at any point of y=x2, by using the secant method.

Q: Question 21 Determine the derivative of the following curve: x² + y² = 5 Oy = -√2 Ov=√ Od = -√√…

A: Explanation of the answer is as follows

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

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Q: simplified form. y = 5√x y'= 5√1 y = 5x² 5 2√x y' = y' = 5 2 5 none of the above Find the derivative…

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Q: Q3) Find the derivatives of each of the following functions (Answer 4 Only) 2- f(x) = sin(tanh(x²))…

A: Given: fx=x+612x-22x+332x-1

Q: √x (a) f(x)= [sin tdt (b) g(x)=[costdt

A: As per the guidelines I am answering first 3 questions.

Q: Question 4 If f and g are the functions whose graphs are shown, let h(a) =9(f(x)). Find h'(1). -2…

A: First we find h'(x).

Q: Which of the following equations is 1011th derivative of h(x) = -5 cos x ? Oh(1011)(x) = -5 sin…

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Q: y=cos(5x) (7/10, 0) (z/2, 0) |(3x/10, 0) The function graphed here is f (x) = cos 5x. Consider the…

A: Please refer the attached image for complete solution.

Q: dy For items 13-14, consider the function y=√ 6x-2 whose derivative is given by dx 3₁√/6x-2 2(3x -…

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Q: 11

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