If f(z) = (3z -3)(2-22), use the product rule to find f'(0). %3D

Q: Find the derivative (f' (x)) of f(x) = Vx + 2 . %3D

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Q: y = 4x° + 4x at (1, 2)

A:

Q: Use the Generalized Power Rule to find the derivative of the function. h(z) = (8z2 − 6z + 7)4

A: Given function is as below

Q: Find the fourth derivative of ƒ (z) = 2z¬3 f(4) (z) –

A:

Q: Find the derivative of  g(z) = 4z7-3z-7+9x

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Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

Q: I. Find the second derivative 3. y = (x +8) (6x-1)

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Q: Use the chain rule to find the derivative of 13 f(x) = 3(6x* – 5a³)* You do not need to expand out…

A: Given that:f(x)=36x4-5x313To find f'(x)

Q: 6. R(z) Vz3 8z4

A: ddxxn =nxn-1ddx1xn =-nxn+1 ddxx =-12x

Q: Use the chain rule to find the derivative of f(x) = 4(8z³ – 32")² You do not need to expand out your…

A:

Q: 4 f(x) = Vx*+2 %3D x*-2

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Q: Use the chain rule to find the derivative of f(z) = 4(4z5+5z“) i

A: Given : fx = 44x5+5x4-12

Q: The first derivative of f(x) = will be 5x* – 6x 10х3 — 3 В. (10х3 — 3)/(5x* - 6х) А. V(5x* – 6x)³ 3…

A: Given function is f(x)=15x4-6x

Q: Find the derivative of y = (x2 + 6)(x3 + 2) in two ways. (a) by using the Product Rule y' =…

A: Given:  y = (x2 + 6)(x3 + 2) Formula use: Product rule for derivative:…

Q: Find the derivative of f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

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Q: Find the derivative of f (x) = (x + 4)5 A) f'(x) = 5x (x* +4)* B) f'(x) = 6x (x+ 4)* C) f'(x) = 30x…

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Q: Find the derivative by using the quotient rule. 3x-2 (a) 2x +3 Jx +2 (c) x2 3+2x (b) x² +1 (d) *+2

A: Given: a)  3x−22x+3b)  3+2xx2+1c)  x+2x2d)  x+2x

Q: Find the derivative of f (x) = (5 – 3x)2. %3D

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Q: The derivative of f(x,y)=x^3+y^2 is 3x^2+3y^2. True or False?

A: The given function f(x, y) = x3+y2 Differentiate with respect to x ∂f∂x=3x2 Differentiate with…

Q: Use the chain rule to find the derivative of f(r) 3e7z° +6z7

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 3. f(x) = (2x + 1)3 4. f(x) = V7 + V3x + 1

A:

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

A: given,        fx=1-2x4x+5

Q: . Find the second derivative of y = 5sin x – 3ln x.

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Q: Find the derivative of f(x) = (10z (1026 + =2 – 1)° f' (z) =

A: Given function

Q: The derivative of f(z) - (+10z) is O6z (2z + 10) O6z (2z+10) O 6z (2z + 10) O 6z+60

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Q: 6. Use the quotient rule to find the derivative x - Vx y x + Vx (а) 8x2+ 2x y = x - 1 (b) 4х — 1 (c)…

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Q: 1. у %3D 4x2 — 3х — 2.

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Q: find the derivative of function x^2+4y-10x-16y+5=0 at (7,3)

A: Given:       x2+4y2-10x-16y+5=0        at 7,3    Differentiating on both sides…

Q: Find the second derivative or f"(x) for f(x) = / 2x + 5. %3D 1 (2x + 5)3/2 (2x + 5)!/2 (2x + 5)3/2…

A:

Q: *show work*

A: Given:

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 f (x) = (x° – 4x (2² + - 8z – 2). %3D f' (z) =

A: We need to find the derivative of given function.

Q: B. Use the product and quotient rule to get the derivative of the following 4. Y= 2x-1/ x+2 5. f(x)=…

A:

Q: ind the derivative of y = (x + 2x + 5)°. 6(2x + 2)(x + 2r + 5) 2x + 2 (x2 + 2r+ 5)6 6(x + 2x + 5)…

A: Power rule of derivative :  (d/dx) (xn ) = n x n-1

Q: find the derivative af: 5y 2.5x/2 1) =xe ye

A:

Q: Find the derivative. Using Chain Rule y = (2x2 – 1)3(3x² + 1)³ |

A: According to question,Given Function,y = 2x2-133x2 + 13

Q: Find the derivative of the function. F(x) = (4x + 4)3 (x² – 5x + 4)4 %3D F'(x) = %3D

A:

Q: 7. y = Vx + 2

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

Q: Find the derivative of the function. (x + 1)(2x – 5) f(x) %3D 2x + 3

A:

Q: Find the derivative of y = (5x − 2)/(x2 + 1)

A: Given:           y=(5x−2)(x2+1)

Q: Find the derivative of y = (x2 + 4)(x³ + 3) in two ways. (a) by using the Product Rule y' = (b) by…

A: Given function is  Differentiating with respect to x by using product rule of differentiation, we…

Q: Use the chain rule to find the derivative of f(x) = 4( – 5æ" + 3z")" %3D

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Q: Use the chain rule to find the derivative of f(x) = 3e10z° +9x* f'(x) %3D

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Q: 3r %3D 5r + 2 – 1 (d) f(x) =

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Q: Find the derivative of the function. f(z) 0.6z-0.4z2 - 0.8 f' (z) -

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Q: Find the derivative of the fünction. y = 7(6 - x2)6 %3D

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Q: find the critical points and apply the Second Derivative Test (or state that it fails). y = 6x^3/2 −…

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Q: Find the derivative of  g(z) = 4z7-3z-7+9z

A: To evaluate the derivative of g(z)=4z7-3z-7+9z

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.