Use the Power Rule to compute the derivative: I-13

Q: use the Product Rule to calculate the derivative. f (x) = x2ex

A: Use the Product Rule to calculate the derivative. f (x) = x2ex

Q: Use the Power Rule to compute the derivative: da x=1

A: Using the power rule for differentiating x4

Q: Use the definition of the derivative to differentiate the following function.    f(x) =1/2x^2+ 5.…

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Q: Use the Product Rule to find the derivative of the function. f(x) = (9 - x) "(x) =

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Q: Use the Quotient Rule to find the derivative of the function. f(x) = f'(x) =

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Q: Use various notations for the derivative

A: Solution: There are four popular derivative notations : (1) Leibniz Notation (2) Lagrange Notation…

Q: Use the product rule to find the derivative. f(x) = -2xex? %3D Please show all steps

A: To find the derivative of given function.

Q: f(x) =

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Q: Use the power rule to find the derivative of f(x) = x – 14

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Q: Use the Product Rule to find the derivative of the function.

A: Given :           The function h(x) = xx3 + 1 To find the derivative of h(x) using product rule.

Q: Find the derivative of the function by quotient rule. 3x+7 f(x) = %3D 5x-2 Answer:

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Q: Use the product rule to find the derivative. y = (3x2 + 2)(3x – 2) y' =DD %3D %3D

A: We will use the product rule to find the derivative of the given function y.

Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: Use the Product Rule to find the derivative of f. f(x) = csc(x) sec(x) f'(x) = %3D

A: Topic :- Differentiation

Q: find the derivative dr3

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Q: Use the Product Rule to find the derivative of the function.

A: Differentiation of the function f(x) helps to find the derivative of the function. The given…

Q: Use the Product Rule to calculate the derivative. f(x) = (2x - 9)(4ex + 1)

A: Definition used-                 Product rule of derivative -                     ddx(f(x)×g(x))=…

Q: Use the Power Rule to compute the derivative.

A: ddtt23t=8

Q: = At³ – B %3D

A: Given,

Q: Which rule(s) are used to find the derivative?

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Q: calculate the derivative. f (x) = 3ex − x3

A: To calculate the derivative. f (x) = 3ex − x3

Q: By definition, find the derivative: f (x)= Vx

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Q: Use the chain rule to find the derivative of 4e8z+ 3z7 Question Help: M Message instructor

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Q: Use the Fundamental Theorem of Calculus to find the derivative.

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

A: power Rule in Differentiation- f(x) =x(1/10)

Q: -4 c) f(x) = In

A: Given query is to find the derivative of the expression.

Q: Complete the table to find the derivative of the function without using the Quotient Rule.

A: To Determine: Complete the table to find the derivative of the function without using the Quotient…

Q: Use the Power Rule to compute the derivative.

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Q: Find the derivative. y +9 sec x 918 %3D

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Q: Use the Product Rule or Quotient Rule to find the derivative. 9х3 — 1 f(x) Зх — 2 Answer f'(x) = ||

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Q: -1 2.) у %3D tan -6.x4

A: To differentiate: y=tan-1(-6x4) Solution: We know, ddx(f(g(x)))=f'(g(x)).g'(x)…

Q: Use the General Power Rule to find the derivative of the function. g(x) = V2 – 7x g'(x) = %3D

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Q: b) f(x) = (e* (Inx² – 3))*

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Q: Let ƒ(x) = x2, Find the derivative

A: ddxxn=n xn-1

Q: Let y = (x² + 3)'. Use the General Power Rule to find the derivative. y =

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Q: Find the derivative. 8

A: The given equation is

Q: Use the power rule to find the derivative: 3x? – 2x° +4 f (x) = .5

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Q: Use the Product Rule to calculate the derivative. f (x) = x2ex

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Q: find the derivative using the appropriate rule or combination of rules.

A: Write y using exponents

Q: Use the Product Rule or Quotient Rule to find the derivative. 9x 1 f(x) = %3D x2 + 3 Answer

A: on doing differentiation we get

Q: Gz² 6: 4. g (z) = %3D 2 -z

A: Given function: gx=6x22-x Differentiate the above function w.r.t 'x' g'x=ddx6x22-x

Q: 2cotx 1+ cot²x

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Q: Find the derivative F

A: To find the derivative

Q: Use the product rule to find the derivative of the following. y =(x+7)(7/x +6) y':

A: Apply the product rule of derivative, ddx(uv)=udvdx+vdudx And, the power rule ddx(xn)=nxn-1

Q: Find the derivative of the function without using the Quotient Rule. y = 63 8(x)10

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Q: Find the derivative y = 73

A: The given equation is: y=73t To find the derivative of y with respect to t.

Q: Complete the table to find the derivative of the function without using the Quotient Rule.

A: Here given function as y=2xx13 Use the formula of quotient rule of the derivative.…