f(x)%3D (6- x²)3 — х? %3D

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: Find the derivative of the function g(x) = 3arccos(x/2)

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Q: Find the derivative of the function y= 6e 4x 3x+4 The derivative is

A: Please refer the attached image for complete solution.

Q: What is the derivative of the given equation below? (3 + x)² (x + 1)3

A: Consider the expression 3+x2x+13 In order to find the derivative of the expression, use below rules…

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

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

Q: 5. y- Br*-+습

A:

Q: Find the derivative of the given function. 275 y= 22+4 e -3x %3D

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Q: Find the derivative of y = 7x°e + 5x? y': Submit Question

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Q: Find the derivatives of the functions y = x3ex

A: We find the first few derivatives using the product rule

Q: Find the derivative of the function. 9х - 1 y3= x2 + 7x y' = D

A: Given: y=9x-1x2+7x Quotient rule for derivative: ddxuv=v u'-u v'v2

Q: y = kx xe

A: y=xe-kxTo solve the derivative

Q: 3a'x-x? Find the derivative of the Tan a (a²-3x*)

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Q: Find the derivative of the given function. y= 2x°-8x +16x+4 dx II

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Q: Q3/ B) Find the derivative of the following functions. 1. ху3(х-у)+1 2. y=e*secx

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Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: Find all possible functions with the given derivative. y = 5x -7x

A: y'=5x2-7x

Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: 4x – 9y = 1 find the first derivative

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Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

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Q: Find the derivative of the function.

A: hs=-25s2+3

Q: Find the derivative of f(x) = e2" (3a? - x)

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Q: 3x Calculate up to 2nd derivative the equation g(x) = -8sin (+

A: Given: A function gx=-8sin3x2+1. The first derivative of g(x) is: gx=-8…

Q: How do I find the derivative of this problem?

A:

Q: (A) Find derivative of y = In V4+ a2

A: Given that a function y (x) and we find derivative of this. We know that : d(lnx)/dx = 1/x . Here i…

Q: Find the derivative of the function. u(x) = (x² + 1)3³ ? - 1

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Q: Using the definition of derivative, find the derivative of the following functions: (a) y = xvx² -2…

A: (1) Y = X*(X2-2)0.5       dY/dX = (X2-2)0.5  + (1/2) *(1/(X2-2)0.5) *…

Q: Find the derivatives of the functions y = 1/2x2 csc2/x

A: Given- y=12x2csc2x To find-  The derivative of the above functions, Identity Used- The product rule…

Q: Find the derivative of ?=1?‾‾√y=1x. (The correct answer might not be in simplified form.)

A: Explanation and solutions is given below....

Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: Find the derivative of the linear fractional function y=ax+bcx+d.

A: We have to find the derivative of    y=ax+bcx+d ddxy=ddxax+bcx+dWe have to apply division rule…

Q: 음고+ 음 + 2V- e The first derivative of y = 3x5 is %3D

A: Recall: dxndx=nxn-1 dc1f(x)±c2g(x)dx=c1df(x)dx±c2d[g(x)]dx ; where c1 and c2 are constants.…

Q: Fg(x) = 1 Vx-1

A:

Q: Caloulate the derivative of the following function. y= sec (9x-5)

A: we simply apply differentiation property and get the required answer

Q: Find the derivative of the function g(æ) = (5æ² – 4x)e" - g'(x) =

A: →duvdx = udvdx + vdudx→dexdx = ex

Q: t(x)=23x3−10x2+42x+9 Given the function above, use the First Derivative Test to find the local…

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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: A) find the 1000th derivative of the function: y = xe¬x.

A: Find derivative

Q: Find the derivative of B(y)=cy^-4

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Q: Using the properties of derivatives, solve for f"(k lа.

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Q: s=csc^5(1-t+3t^2) Find the Derivative

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Q: Find the derivative of the function. h(s) = -2 -2V9s + 1 2 h'(s) %3D

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Q: Find the derivative of the function y= 4, 5x 3x+5 The derivative is

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Q: Find the derivative of the function y= 5,3x 2x+3 The derivative is

A: Topic -derivative

Q: III. Find the indicated derivative of the following. 1. x? -4y? =5 , y"

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Q: 4. y = 2xi+x“

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Q: Find the derivatives of the functions y = x2e-2/x

A: Given: y=x2e-2/x Formula Used: f.g'=f'.g+f.g'

Q: h(x)=83x3+32x2+120x+9 Given the function above, use the First Derivative Test to find the local…

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Q: Find the derivative of the function f(x) = (4x? – a – 4)* at x = - 1. %3D f'(-1) = Pr

A: