Find the derivative of the function. f(x) = V3x + 2

Q: f (x) = (x² – 1)**1

A:

Q: Find the derivative of the function y=x2−5x.

A: We differentiate both sides with respect to x.

Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

A:

Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx =…

Q: Find the derivative of the function.

A: Given, y=1x2+53

Q: Find the derivative of the function y=2x1−x2.

A:

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

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

Q: Find the derivative of the function. F(x) = /1 – 2x

A: Given, Fx=1-2x

Q: Find the derivative of the function. 7 x2 + 1 y = x2 - 1

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Q: Find the derivative of the function f (x)=x-2r.

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Q: Find the derivative of the function .

A: Given: f(x) = x -6x3 To find: The derivative of the given function.

Q: Find the derivative of y=-3/(t-2)4

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Q: Find the derivative of the function g(x)=(2x^2+2x+2)e^x g'(x)=

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Q: Find the derivative of y = f(x) x2 +1

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Q: Find the derivative of the function (x-2)2 | y = Vx2 +1' 2.

A: We use derivative of u/v=( v derivative of u - u derivative of v)/v2.

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

A: The given function is,

Q: Find the derivative of the function.    t(x) = (x2 − 8x3)/(x)

A: Given, t(x)=x2-8x3xTake 'x' common from numerator,we gett(x)=xx-8x2xCancel 'x' from both numerator…

Q: Q2/ Find the derivative of the function (x) =v3x-x by definition

A: Solve the limit for very small change in x .

Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx) is,

A:

Q: Find the derivative of the function y=√x2√x.

A:

Q: Find the derivative of the function and then evaluate at the given point. y = 2x - 3x; (- 1,5) f'(x)…

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: Find the derivative of the function. g(x)=4x(3x+2)^5

A: Given:  g(x)=4x(3x+2)^5

Q: find the derivative of the function.

A: Here given as gx=3x-5 or   gx=3x-5x>535-3xx≤53

Q: Find the derivative of the function.

A: We use the quotient rule

Q: Find the derivative of the function. 7 q = = Vx' - 2x

A:

Q: Find the derivative of the function. 2 + g(x)

A: We know that  ddxxn = n·xn-1

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

A: given,        fx=1-2x4x+5

Q: Find the derivative of the function.

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

Q: find value of derivative f'(a) for the given value: f(x)=x2 + 3x + 1, a=3

A:

Q: Find the derivative of the function. x2 - 2x3 t(x) t'(x) =

A: In the question it is asked to calculate derivative of following function.

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

A: Consider the provided function, fx=4x+13x-6 Find the second derivative of the function and then find…

Q: Find the derivative of the function. y = x2 √(16 − x2)

A: Given:y=x2 16-x2Product of differentiation  formula:ddxuv=uv'+vu'

Q: Find the derivative of the function y=√4-3x.

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Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: 6. y F-2x

A: The given function y=31-2x2

Q: Find the derivative of the function. g(x) = 4e√x g'(x) =

A: Consider the given function:

Q: Evaluate the derivative of the function at the given point. t= -2 8t+3'

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Q: Fg(x) = 1 Vx-1

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Q: Calculate the derivative of the function, then find the value of the derivative at the specified…

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Q: Find the derivative of the function. G(x) = V1- 9x2 · arccos(3x) G'(x) =

A:

Q: Find the derivative of the function. y = 1/(x2 + 5)3

A: Solution:- The given function is  y=1(x2+5)3

Q: Find the derivative of the function. q= 5 3 x + 6x

A: The given function q=x3+6x5

Q: Find the derivative of the function g(x)=e^x/2−4x g'(x)=

A: Here we need to apply chain rule of differentiation. We have Derivative of e^x is e^x.

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 g(x)=e^x/2+5x g'(x)=

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Q: Find the derivative of the function. g(x) = ∣3x − 5∣

A: We have to find the derivative of the function, g(x) = ∣3x − 5∣

Q: Find the derivative of the function. F(x)= 1-6x

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Q: Find the derivative of the function f(x) = 3x−1

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

A: Topic -derivative

Q: et g(æ) 5x – 4 ='(x) =

A: