Direction: Find the derivative of each of the following functions. 1. y = (3x - 1)(2x +5)

Q: Find the 1st and 2nd derivative of this function: x=(t-2)5/2  y=t3-5

A: We will differentiate the function twice to get the first and second derivatives as follows while…

Q: Find the derivative of the function. Зх - 4 y = 2 + x* + 6x y' =

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Q: Find the derivative of the function

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Q: Find the derivative of the function. Y = 39=2

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Q: 2 y = 3x2

A: Power rule of derivative is defined as dxndx=nxn-1. Difference rule of derivative is defined as…

Q: Find the derivative of the function.

A: Given, y=1x2+53

Q: Find the derivative of the function. x2 + 3 y = x² – 3

A: Consider the given function y=x2+3x2-34

Q: Find the derivatives of the functions

A: Here given

Q: Find the derivative of the function.

A: To Find: The derivative of y=52-x34

Q: Find the derivative of the function.     y = 5(2 − x3)4

A: We use the power rule and the chain rule

Q: Find the first and second derivative of this function: x=(t-2)5/2  y=t3-5

A: We have to find derivative

Q: Find the derivatives of the functions y = x-3/5 + π3/2

A: Given function is a linear function

Q: Find the derivative, but do not simplify your answer. y = (x² + x + 6)( x - 2/x + 9 y' = ||

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Q: Find the derivative of the function.

A: Given y=2x-73

Q: Find the derivative of y = 9" + 2.

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Q: V 3x – 4 FINDTHE DERIVATIVE USING THE DEFINITION

A: Given: fx=3x-4   As we know from the definition of the derivative; The expression for the derivative…

Q: Find the derivative of the function.

A: The given equation is y=-3t-24.

Q: Find the derivative of the function. y = 12 + 5

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Q: State the derivative. Do not simplify. f(x) = e² - 22

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Q: Find the derivative, but do not simplify your answer. 2 3 y = (x + x + 4)Vx – 2/x + 7 -

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Q: Find the derivative of the function. y = 10(9 – x2)3

A: Find the derivative of the function y=109-x23.

Q: Find the derivative of the function. 7+ 9x - 6/x y = y' =O

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Q: Find the derivative. y=(x+1)^2(x^2+1)^-3

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Q: Find the derivative of the function.

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Q: b) f(x) = (e* (Inx² – 3))*

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Q: V3x – y+ 6a*y? = 9y

A: Given: 3x-y3+6x4y2=9y

Q: Find the first and the second derivatives of the function. y%3D 6-x

A: The given function is: y=x6-x  =-xx-6  =-x-6+6x-6  =-1+6x-6  =-1-6x-6

Q: 2 X xVx? +1 %3D 2 X+ 3

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Q: Find the derivative of the function. y = (x2 − 6)3

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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, but do not simplify your answer. y = (x? + x + 2)(Vx - 2Vx +9)

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Q: What is the derivative of y = √/x? 1x² X 2 2 1 X X 2 23

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Q: Find the derivative of the function. y = − 3/(t − 2)4

A: y=-3t-24⇒y=-3t-2-4

Q: Find the derivative of the function.

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Q: Obtain the derivative of the function f(2)% 3 -3a° – a* + 4x. Enter your answer as a function of a :

A: Given that f(x) = -3x2 - x4 + 4x  Find derivative of this function f(x). We know that derivative of…

Q: Find the derivatives of the functions y = x3 - 3(x2 + π2)

A: the given function is: y=x3-3x2+π2 we have to find the derivative of the given function.

Q: Find the derivative of the function. h(t) = - (²²) ² h'(t) =

A: We have to find derivative

Q: Find the derivative of the function. y=(7x)/x^-4

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Q: x = -t4 – 5t – 3 2.

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Q: y = 2 x + 2 -3+x

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Q: Find the derivative of the function y = 3e^(13t-15)

A: Calculation:

Q: Find the derivative of the function. 9+4x - 8x y = y' =D %3D

A: We obtain the derivative of the given function y by using the quotient rule of differentiation. We…

Q: Q2/ Find the derivative of the function (x) =Vx? - 3 by definition

A: Use the definition of the first principal:   ddxfx=limh→0fx+h-fxh So, ddxx2-3=limh→0x+h2-3-x2-3h

Q: Find the derivative of the function. y = 10(9 – x2)3 y'(x) =

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Q: Find the derivative, but do not simplify your answer. y = (x2 + x + 8)(Vx - 2x + 3

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Q: Find the derivative of the function. y = r/sqrt (r^2+9)

A: Given equation

Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y…

Q: Find the derivative of the function y=x² + 3x - 1. Attach File

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Q: Find the derivative of y = x2 (x³ + 1)4. 3

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