Find the derivative of the function G(x) 1 + 2x3 – x2 + 5.3x + /10.

Q: Find the derivative of f(x) = 2x/√x+1 if f'(2)

A: Given: fx=2xx+1 Formula Used: fg'=g.f'-f.g'g2

Q: Find the anti-derivative of f'(x)=7x

A: Given : f'x = 7x

Q: Find the derivative of the f(x) = (x² + 1)³

A: To find the derivative of the function: fx=x2+13

Q: Find the derivative of f (x) = x2 + 2x + 2.

A: The given function is, fx=x2+2x+2 To find the derivative of the function, we use the power rule of…

Q: Calculate the derivative of f(x)=4x³ with respect to x and evaluate this derivative at x=2.

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Q: Find the derivative of: f(x) = (x3 + 2) In(x)

A: Consider the function

Q: Find the derivative of F(x) = 1 / (3x+1) directly from the definition of the derivative:

A: Here the question itself need to use definition of derivative to find out the derivative of given…

Q: Find the derivative of y = x2-1/2cosx

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Q: Find the second derivative of the functionf(x) 3Vx+2 2x+1

A: Given

Q: 1 Find the derivative of f(x) = 2x + 3

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

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

A: Our Aim is to find the second derivative of…

Q: Find the derivative of z² + 5 (à). f(x) 12-5

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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 the function f(x) = (3x+2)^2 in two different ways.

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Q: What is the first derivative of p(x)=3^(x^5)?

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Q: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

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Q: Find the derivative of h(x) = x 2(9x + 2).

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

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Q: Find the derivative of the function. f(x) = (x + 1)(2x - 3) divided by 2x +1

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Q: Find the derivative of f(x) =(1+5x^2)(x-x^2):

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Q: Find the derivative of the function. 4 2x - x2 f(x) = %3D x2 - 6 f'(x) =

A: given,        fx=-x2-2x+4x2-6

Q: Find the derivative of the function.

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

Q: F(x) = (x^3 - 8)(4x^2+2x)

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Q: Where does the derivative of g(x)=(x^2)/((x^2)+3) = 0 or is undefined?

A: Given function, gx=x2x2+3

Q: f(x)=5e -5x+1

A:

Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

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Q: Find the derivative of the function. f(x) = (3x + 2)3(x2 + x)2

A: Differentiation use product formula

Q: 2. f(x) = V-3x+ – 2

A:

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: 1 Find the derivative of f(x) 2x + 3

A: Since we have to find the derivative of f(x)=12x+33, so ddx(f(x))=ddx1(3+2x)3 -(i)By using the chain…

Q: Find the f derivative of x given f(x)=(3x)^-1

A: Calculation:Compute the derivative of f(x) = (3x)−1 as follows.

Q: Find the derivative of the function. f(x) = 4x In 4x f'(x)=

A:

Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: Find the second derivative of the function. . f(x) = 4x3/2 : 1. g(x) = %3D X-1 .. h(x) = secx

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

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Q: Find the derivative of f(x)= 11x^2 at x=1

A: Given:    f(x) = 11 x2  at x = 1

Q: 3) Find the derivative of f (x) = Vx3 – 4x²

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Q: Find the derivative of f(x) = V3.x2 + 7x

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Q: Find the derivative of y = x²( - %3D x2+1

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Q: Find the derivative of the function f(x) = 9x-³ + x² + 14. f'(x) = %3D

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

A: Given, f(x)=2xln2x To find the derivative of f(x).

Q: Find the derivative of f (x) = (x' – 6x) (x" + 2x - 5). f' (z) =

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Q: - Find the derivative of the function : ƒ(x)= V2x + 3

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Q: Find the derivative of the function f(x) = x6x. %3D

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Q: ***** Find the derivative of the function. Express the 2+3 f(x) 4- x2

A: The function is in the form of u/v. Kindly follow the attached imaged.

Q: Find the derivative of f(x) = e2" (3x² – x) %3D

A:

Q: Find the derivative of the function. g (x) = 4x(3x + 2)’ %3D

A: The given function is gx=4x3x+25