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

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

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Q: The first derivative of f(x) = (5x – 6x)-3 will be.

A: Solution of first derivative

Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Given f(x)=(1+2x2)(x-x2) By Product rule,…

Q: Find the derivative of f(x) = 2x²+3x-1 if f'(-1)

A: Given: fx=2x2+3x-1

Q: Find the derivative of the functions f(x)=(2x2-1)(x3+3)

A: We can make it easier for you.

Q: What is the derivative of y = 3x²tan-1(x)?

A: ddxxn=n xn-1ddxtan-1x=11+x2 One have to use product rule here, which is ddx(uv)=vddxu+uddxv

Q: Find the derivative of 8arcsinh(x2)

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Q: The first derivative of f(x) = (5x^4 - 6x)^1/3 will be?

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

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Q: what is the derivative of  (x+7)/(x-7) ? and what is the second derivative?

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Q: Find anti derivative of    f(x)= (2x2+1)(3x-2)

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Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: Find the derivative of y = 3x² + 5x- 2 from first principles.

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

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Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 5) f(x) = 2x2 at x 1 %3D

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Q: Compute the derivative using derivative rules.      y = (x 3 + 3x + 9) -4/3

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Q: find the derivative by using the definition of a derivativef(x)=4x^2+1

A: Formula used:The derivative of f(x) with respect to x is the function f'(x) is

Q: Use the definition of the derivative to find the derivative of f(x) = x^3-4x^2+x

A: the given function is: f(x)=x3-4x2+x

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

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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: What is the derivative of * 3 = 4.x2 + 2y3?

A: We have to find the derivative of 3=4x2+2y3.

Q: Compute the derivative of: f(x) = 4/x+1/(5x^3+2x)

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Q: Find third derivative of  f(x) = 6x^2-7x+8

A: We have to find third derivative of  f(x) = 6x2 - 7x + 8 The first derivative of f(x) is  f'(x) =…

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

A: Solve for the derivative

Q: Use the the derIva tive rule to find derivative of Y= 2x3 -1 X-1 メ 6x -5 X² +1

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Q: Find the derivative of the ff. 3. f(x)= +an (x²- 2x) 8.h(x) = (4) -* -x2

A: Using chain rule.

Q: Find the derivative of f (x) = (x – 4) / 10x³ + 1. -

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Q: f(x) = 2x²-4x x²+1

A: Given :fx=2x2-4xx2+1

Q: Calculate the derivative of the functions given below.  f (x) = 3√x²+3x

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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: What rule do you use to calculate the derivative of f(x) = exx2 and f(x)=(x2-3x+1)/(x+5) ?

A: Use the product rule and quotient rule of derivative:

Q: Find the derivative of the function. f(x) = 7x2 In(9x)

A: To find derivative of given function.

Q: evaluate the derivative of the function at the given pointf(x)=-4/(2x2-3x)4 , (1,-4)

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Q: In x 9) у - %3D x5

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Q: find the derivative of the function using only the definition.f(x)= 16x^2-3x+12

A: Initial Calculation:The variable f(x) is a function of x. The derivative of f(x) found with respect…

Q: Use the definition of the derivative to show that the derivative of y = f(x) = 2x² is f'(x) = 4x.…

A: Given that: y=f(x)=2x2

Q: Find the derivative of 4x2 +6y3 by filling the blanks.....

A: *to find:- derivative.

Q: 5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

A: Find f' (x) then we check f(x) increasing Or decreasing.

Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

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

Q: Fif FCx)=3x-xト4

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Q: How do you find the derivative of f(x)=5/1-8x using the definition of a derivative?

A: The given function is f(x)=51-8x

Q: Find the derivative of  f(x) = 5x^3-7x+1

A: Given data: The given function is f(x)=5x3-7x+1. The expression for the derivative of the given…

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: Find the derivative of the function using chain rule. f(x) = (4x5 – 2x*)10

A: We differentiate the given function by using chain rule, see attached file for a step by step…

Q: Find the derivative of f (x)= 2- √(5x) using the definition of derivative.

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Q: What is the first derivative of y(x) = In (3x + 6x2 + 2x + 6)?

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