Find the derivative using the long method y = vx + 2

Q: Find the derivative using the chain rule: x(x^2+1)^(-1/2)

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Q: Find the derivative of f(x) = (3x – 2x?)’using the chain rule %3D

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Q: Find the first derivative of the function y = 2ArcsinV(x/2) %3D

A: Consider the given function, y=2Arcsinx2 It also can be written as, y=2Arcsinx2=2sin-1x2

Q: Calculate the derivative of the function below using the quotient rule. y = Vx + 4x7

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Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: Y = V(2x + 1)2 yiv %3D

A: Here given as y=2x+123 Differentiate with respect to x…

Q: Find the derivative. y= In x+3 %3D

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Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

Q: Vt- 4 V3t - 4 y =

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Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: Find the derivative of f(x) = Inx + 1].

A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Find first the derivative as shown below: f'x=ddx-5-x2        =125-x2ddx5-x2       =-125-x2-2x…

Q: Find the derivative using the long method y = sec x

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Q: Find the derivative of the function y =2cosx – 3sin x +1

A: Given, y=2cosx-3sinx+1

Q: Calculate the 4th derivative of the function y=x2/x−1 at x=2.

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Q: Use the first principles of derivatives to find the derivative of y=5x-1

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Q: Determine the derivative of y=(x−1)4 without using the power rule.

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Q: 3 f(x) :

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Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: Compute the derivative using derivative rules.

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Q: 10. y = Jx

A: We have to find derivative of - y=f(x)=1x using delta method. Delta method to find derivative is…

Q: Determine the derivative of the given function by using two different methods 2- 3) y = ² + 3

A: Given: y=x2-3x2+34

Q: Compute the derivative using derivative rules.      y = (x 3 + 3x + 9) -4/3

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Q: Find the derivative. y = (lnx) 2

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Q: Compute the derivative using derivative rules  y = (x2 + 9x)- 2

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Q: Find the derivative of the function y= arctan x +x/1+x2

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Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the derivative and simplify exy -x² = 4Y² %3D

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Q: Find the derivative of y = x. %3D

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Q: Find the derivative of the function. f(x) = arctan(3x)

A: We  can make it easier for you.

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: Approximate the derivative of f(x) = x² + 4x + 5 at x = 3 using the forward, backward, and central…

A: f(x) = x2 + 4x + 5 h = Δx = 2 xi = 3         f(xi) = 26 xi+1 = 5          f(xi+1) = 50 xi-1 = 1…

Q: 9. y = 3x – Vx

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Q: Find the derivative of f(x) = v3x + 1 using the general formula for differentiation.

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Q: 1. Y= 3x -x- 2

A: Find your answer below

Q: Find the derivative of by using the product rule. * (1+ væ³) (x-3 – 2a) y =

A: Consider the provided equation, y=1+x3x-3-2x3 Find the derivative of using the product rule. The…

Q: Find the derivative using implicit deffirentiation of x^2 - 2xy +y^2 - 6x + 2y = 0

A: Given,          The derivative using implicit deffirentiation of x2-2xy+y2-6x+2y=0

Q: Find the derivative of by using the product rule. * y = (1+ væ³) (x-3 – 2x)

A: To find the derivative of y=1+x3x-3-2x3 using product rule. Solution: Product rule of derivative…

Q: Find the derivative of the function. f(x) = 18 In(x) %3D

A: Derivative Question

Q: Find the derivative using the long method 3 u = t2

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Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: Calculate the derivative of the function y=(x−1)(x−2)2 without using the product rule for the…

A: Consider the given function y = (x−1)(x−2)2. Simplify the given expression as follows.…

Q: Calculate the derivative of the function y=x(2+3x) without using the product rule.

A: Given function is y=x2+3x. Given function can be written as y=2x+3x2. Power rule of differentiation…

Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: Calculate the derivative of the function y=x2−x−1x without using the quotient rule.

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Q: Find the derivative using the definition 1- y = vx -1

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Q: calculate the derivative with respect to x. 3y3 + x2 = 5

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Q: Find the derivative of the following:

A: We have to find derivative of given function where function are given by

Q: Find the derivative. USING CHAIN RULE 4 y = V3x² – 5x + 2

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