x + x 3 Find the second derivative with respect to y if y: = x2

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y= xVx-2…

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Q: Q-1- Find the derivatives of the functionS 1- Y+In (xy) = |

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Q: Find the first derivative of y = ( ex – e –x ) /  (ex  + e –x ) and y = ln [ x  +  √ (x2  + 1) ]…

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Q: Find all possible functions with the given derivative. y'=-5+7/x^2

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Q: find the first and second derivatives y = x3/3 + x2/2 + e-x

A: Given

Q: y = kx xe

A: y=xe-kxTo solve the derivative

Q: Q4 / Find the value of derivative below * If y = x/1 - x² + Cos-1(x) then y'at | x = is

A: Given,y=x1-x2+cos-1(x) dydx=dx1-x2+cos-1(x)dx=dx1-x2dx+d(cos-1(x))dx

Q: ln(x+(x2 −16)^(1/2)) Find the domain and the derivative of the function.

A: Given, function is

Q: Calculate the derivative. y = x4 - 4 x² 5 (Give an exact answer. Use symbolic notation and fractions…

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Q: Find the derivative of the function. y = 9 tan-(x - V1+ x² ) ,2 y' =

A: The solution of the problem is given in the next step.

Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

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Q: 4. y² +2xy = x+y

A: We know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: H(x)= x^5 arctan 5x find the derivative of the function

A: The given function is,

Q: f(x)= cos(3x2) Find the second derivative of the function.

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Q: x²+x+4 What is the first derivative of r(x) = log, x°cos x

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Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

Q: Find the derivative of y = x' +1 3 Give your answer with positive exponents.

A: We can make it easier for you.

Q: h(x) = e(-1/2)x

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Q: 1) tan x Find the derivative of y= = e

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Q: 2 cos x 4. Consider the function f(x) = x2 find its derivative

A: Given function: fx=2cos xx2Differentiate the above function w.r.t 'x' f'x=ddx2cos xx2

Q: 3. Find the derivative y(15)of the function y = (x2 + x)sin(2x).

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Q: Find the derivative of the function. f(x) = ln(x2 + 1)2

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Q: The third derivative of y = sin is b) y" =-co а) у -sin 8 c) y" = -8sin d) y" =-8cos

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Q: -cos^3(x^3)=-3y^2 Find the derivative

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Q: y==sin(x} sin(x)} 29. Find the derivative of the function: 2

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Q: sin(a²-2) y = x2 Find the Derivative - d/dx

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Q: Find the second derivative of the function. 9. g(x) = x-1 10. h(x) = sinx = (x)6

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Q: (x²+7) Yキ 7. フーX

A: We use first derivative devide rule and differentiate of y . Here i provide full solution of this…

Q: 5х f(x) = 2) Find the first derivative given that J2x+3

A: Solved below...

Q: Determine the derivative of x2 + 2xy + y? = 10 implicitly. Determine the derivative of y sin x = x³…

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Q: y +2xy =x+y

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Q: 2x Find the derivative of h(x) 2x + 3

A: Given:  Function  h(x)=-2x2x+32

Q: x' Find the derivative of h(x) sin x 4x2+2

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Q: (b). Find the second derivative. y=x²-5vx

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Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9. Solution.

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Q: 4.Find derivative y=(-2r+2)" cos(r? -1)

A: A function f(x) is said to be differentiable at x=a where a∈m, n, if: limh→0fa+h-fah A function f is…

Q: Find the derivative of the function. y= -3(6x2 +8) -6 dy dx (Type an expression using x as the…

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Q: 5x f(X) = V2x+3 %3D Find the first derivative given that

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Q: 11. In y = e" sin x

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Q: f(x) = 4e−2xsin(x2) 1. What is the first derivative of the equation? 2. Find f′(−1) manually.

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Q: Find the derivative of the following functions. With solutions y= x100

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Q: x + 3)* = 3y*find the third derivative

A: Given query is to find third derivative.

Q: (x²+1)* Find the derivative with respect to x: y = In /1-x

A: The given function is: y=lnx2+151-x

Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

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Q: e2x 2. Find the derivative of y = - (x² + 1)°(1 (1+ sin x)5

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Q: y=x4Inx

A: Topic = Derivative

Q: Find the derivative

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Q: (a) Find the derivative of the function f(x) = ex-1

A: Note: As per company policy we are supposed to solve only one question. So, kindly repost other…