- Prove that the derivative of (2x +1)2 is 4 (2x + 1) by using first principle derivative.

Q: Find the derivative of 8arcsinh(x2)

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Q: Q1 Prove that the derivative of (2x +1) 2 is 4 (2x + 1) by using first principle derivative.

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Q: 2. FIND THE DERIVATIVE BY THE LIMIT PROCESS OF f(x)=x²-6x+5.

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Q: 2. FIND THE DERIVATIVE BY THE LIMIT PROCESS OF f(x)=x³-8x+9.

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Q: 5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

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

A: Consider the function

Q: A Find the derivative using the three-step rule. 1. y = 11-9x

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Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

A: To calculate the integral

Q: The derivative of (x3 - 4x)>x is obviously 2x for x  0, because (x3 - 4x)>x = x2 - 4 for x …

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Q: Let f(x)=," 1 Use the definition (first principle) to determine the 1-x derivative of ƒ(x).

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Q: 6. у3 2x – Jx² – 1

A: Given function y=12x-x2-1 we want to derivative of given function with respect to x

Q: What is the first derivative of q(x) = In (4x² + 3x + 2)?

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Q: of n'(x)= 2x-1/x2-x

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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 derivative of  23x and the 3x  is raised to the power of 2 also

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Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) =…

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Q: Find the derivative 2x %3D 1-x2 (1–x2)? 2 1-x2 (1-x2)? O None of these

A: We use Quotient rule to solve this derivative

Q: 1.f(0) = (금x* + 3)" %3D

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Q: Use the theorems on derivatives to find the derivative of the following function: ((x3 + 2x2 + 4x +…

A: Consider the function

Q: Find the derivative of by using the product rule. " 3 (1+ v=) (- - 25) 3 11 3 -3x 3 option 4 Option…

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Q: Determine the derivative of the following functions using chain rule. 3 * 1. f (x) = (2x² – 2x + 1)…

A: 1.f(x)=(2x2-2x+1)3 2. f(x)=5x3-8x2+9x-6

Q: Find the derivative of the functron. Simplify and express the answer anly. using positive expenents…

A: In this question the given function is y=(x2-5)3x2+3 we have to find y' In positive exponents only

Q: Compute the derivative of 6x2 f(x) = In(r) %3D

A: We have to find derivative

Q: Q1 Prove that the derivative of (2x +1)2 is 4 (2x + 1) by using first principle derivative.

A: as per our guidelines we are supposed to answer only the first question. Kindly repost other…

Q: .3 Find the derivative of h(x) =In x³ + 2 x5 – et -

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Q: 2) Use the definition of the derivative, f'(x) = lim Ax-0 derivative of f(x) = 5x² + 3. f(x+Ax)-f(x)…

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Q: Compute the derivative f(x)= cubed root of x + 3/x5

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Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: Find the derivative off (x) = 9x - 5 at x = 2 and x = 5.

A: Given f (x) = 9x - 5

Q: f(x) = 2x²-4x x²+1

A: Given :fx=2x2-4xx2+1

Q: 3. ƒ : R+ → R, such that f(x) = √2x+2. (Hint: Apply the chain rule.)

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Q: Find the derivative using the long method 3-t to

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Q: Find the derivative of f(x) = arctan x In(6x? + 6x – 4) 1 1 -In(бx? + бх — 4) + arctan x- -(12x + 6)…

A: Product rule (u v )' = u ' v + u v' Formula derivative of xn=n xn-1 Derivative of arctan…

Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

Q: 3. Find the derivative of h()= 5²°-2z-1 %3D

A: We have to find derivative

Q: find the derivative of the funchtiony=ln(9x+3)

A: In this question we have a function for which we have to find the derivative and the function is…

Q: Compute the derivative of f(1) = In(x In(x² In(r³))).

A: The given function f(x)=lnx lnx2 lnx3

Q: Find the derivative of f(x) = (5x 2 + 3x + 1) × (3x 2 + 2x − 1) × (x 2 − 1). Show all steps.

A: Given:f(x)=5x2+3x+13x2+2x-1x2-1

Q: f(x) = (x2 + x) (x* - 6x)3 %3D

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Q: Find derivative of q=(X^2-x+1)/x+1

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Q: 2) Find the derivative of g(x) = 4x^2−3x+5 using the limit process.

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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: Compute the derivative of y = In ( VI-2 conh z - (z² + 2) -(2- 1)

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Q: 2. Find the derivative of f (x) = (3x – 2x? )(5 + 4x) using the product rule

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Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

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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 (x+5) / (x2-1) with respect to x.

A: Here we have to use formula of derivative  dxndx=nxn-1

Q: In x g(x) = 2

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Q: 4 Find the derivative of f(x) using first principle %3D 3x2-3 of differentiation.

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