(iii) Find f' and state its domain.

Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

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

Q: Use Leibniz’s Rule to find the derivatives of the functions

A:

Q: 1 Use the power rule to find the derivative of f(x) = Vx 15 f'(x) = %3D

A:

Q: Give a vector valued function whose graph is same as y=ln (x)

A: We know that a function with the representation r→t=ft i∧+gt j∧ is called a vector valued function…

Q: Find the second derivative of the funcion. y%3D

A:

Q: Compute the derivative using derivative rules that have been introduced so far. y = (x 4 + 5)3

A: Given equation is y=x4+53 Applying derivative with respect to x: dydx=dx4+53dx Using the power rule…

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

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Q: Find the derivative. y= In x+3 %3D

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

A:

Q: find the derivative of f(x) = (x²+4)(3x³ - 2x) at the point x = - 3[ use product rule] %3D B.

A: We have to find the derivative

Q: 3. Calculate the derivative of f (x) = x2 +1 showing all your work.

A: Using the formula u by v = vd/DX(u)-u d/DX(v)/v^2 According to the bartleby guidelines I can  solve…

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: Compute the derivative of f(x) = sin2x

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Q: Let f(x) = r - 3z2 - 1. Calculate the derivative

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Q: Determine the derivative of y=(x−1)4 without using the power rule.

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Q: Find the derivative of f(a) %3D 울 -울 + 4VE

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Q: Use the second derivative to find the location of all local extrema for f (x) = x + x2 – x3, -

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Q: Find the derivatives of the function f(x) from the first principle x*+4

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Q: sinx (b) у %3D V1+cosx

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Q: Analyze the stationary points of f(x) = x2ex by applying the second-order derivative test.

A: Stationary points are occurred where the first derivative of the function becomes zero. If the Value…

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

A: We have to find derivative

Q: Find the derivative and simplify exy -x² = 4Y² %3D

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Q: Find the derivatives using the four step rule: f(x) = 1-x2

A: Explanation of the answer is as follows

Q: Find the derivative of the function f)= [sec() 6 sec-1 xVx2-9 1 sec x Vx2 -9 O 3 sec-G) 3. xVx2 -9 3…

A: In this question we have to find the derivative of the given function.

Q: exp(x²) Vx²+1)( ¥2x* +3 18. f(x)= Vx*+1

A:

Q: Estimate the derivative of the function f (x) = -3 at the point a = 3. %3D

A: Here given as fx=x3-3 Differentiate with respect to x f'x=ddxx3-3=ddxx3-ddx3=13

Q: Let f(x)=9−(4x^2+3x). Then according to the definition of derivative

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Q: Find the derivative of f(x) = (2x^2-x-1)(sqrt of x) %3D

A: A detailed solution is given below.

Q: Find the derivative of the function by definition. 1- V2x+3

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Q: Find The derivaTive of f(X) = -x²+ 3X + 2 Using the de finiTion of the derivative

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Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: f (x) = (x² – V¤)6"

A:

Q: Find the derivative and state the domain of f(x) = In(x + 4) %3D

A: In this question, concept of derivative is used. Derivative The derivative expresses the rate of…

Q: Find the first derivative by applying the appropriate rules. DO NOT SIMPLIFY the algebra. (a) fx)…

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

A:

Q: Find the derivative of the function. InV y = In 6 - X %3D y' = %3D

A: Explanation of the answer is as follows

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

A:

Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

Q: Find the derivative of f(x)=(sinxcosx)1/2

A: Given the function,

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: Let 22-4z+4 f(x) = I-1 Find the derivative using appropriate rules of differentiation.

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Q: Find the derivative of the function. y = x²V25 - x² %3D %3D

A: Differentiate wrt x

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

A:

Q: Find the derivative of the function f(x) = v4-x2 by definition

A: The given function is f(x)=4-x2 The definition of the derivative is given by: If a function f(x) is…

Q: 3. х %3D у* — 2у3 2y3

A: We can find the answer as below using delta method

Q: X-2 %3D

A:

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) : %3D

A: We need to differentiate the function f(x)=1x with respect to x. We also know that ddxxn=nxn-1.