Use the Product Rule to find the derivative of the function. f(x) = (3 − x) (7/x2-5)

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

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Q: Find the derivative of the function by using the definition of the derivative. f(x) = /(x³ + 5x)…

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Q: Use the product rule to find the derivative of the following. y = (x + 5) x + 4

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Q: Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x) =…

A: Given f(x) = 3x then f'(x) = limh→0f(x+h)-f(x)h= limh→03x+h-3xh= limh→03x-3x-3hx(x+h)h=…

Q: Use the definition of the derivative to find the derivative of g(x) = x3 – 2x² + x – 1. %3D

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Find the derivative of the function by using the Quotient Rule. Simplify your answer. x2. - 4x + 3…

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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: Use the Quotient Rule to find the derivative of the function.                           h(x) =…

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

A: The given function is ;  y=x2+9x-2  ...........................(1) differentiate with respect to x

Q: Use the Product Rule to find the derivative of the function. f(x) = x2(2x3 – 1) f'(x) =

A: This is a problem of the derivative of the function. Product rule formula is, UV = U*V' + V*U'…

Q: Using the definition of derivative, find the derivative of f(x) = x² + 4x + 4.

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Q: Use the product rule to calculate the derivative  f(x)=x^3(2x^2+1)

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Q: Use derivative rules to find the derivative of h(x) = 3f(x) – 29(x) – x² f (x) + g(z)

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function f(x) = (x2 + x −…

A: Let, u=x2+x-1u'=2x+1Let, v=x2-1v'=2x

Q: Use the General Power Rule to find the derivative of the function. g(x) = (9 − 5x)4 g'(x) =

A: Given,

Q: By using the first principle, find the derivative of the following functions. 1.  f (x) = x^2 - x

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Q: Find the derivative of the function f(x) = 10 + x² + 14. x3 f'(x) =

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

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx The quotient rule of…

Q: Find the derivative of the algebraic function.

A: Given function is fx=3x-1x. To find the derivative of the function. Solution: Power rule of…

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

A: Here we have;  f(x)=x2+x-1x2-1 differentiate with respect to x

Q: 6 g(x) (4x2 + 5x)' g'(x) =

A: GIVEN: g(x) = 64x2 + 5x7

Q: Using the definition of derivative, find the derivative of f(x) = x² + 3.

A: As per our guidelines, we are supposed to answer?️ only one question.   B2(a). Find the derivative…

Q: Find the derivative of the function. f(x) = (3x2 + 7)(x2 − 1/x)

A: Given,

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

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Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

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

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Q: Use the Quotient Rule to find the derivative of the function. 2х — 3 g(x) x - 1 g'(x) = %3D

A: Given that gx=2x-3x2-1

Q: Use the product rule to find the derivative with respect to the independent variable. x²-1 (5x+ 3x?)…

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Q: Use the Product Rule to find the derivative of the function. g(x) = (x² – 6x + 7)(x³ – 1) g'(x) =

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Q: Find the derivative of the function f(x) = 2x3 – 3x by using the definition of the derivative.

A: By using the definition of derivative of a function, we differentiate the given polynomial as in…

Q: Using the definition of derivative, find the derivative of f(x)= x² +3.

A: (As per bartleby guidelines, for multiple questions asked, only first one will be solved. Please…

Q: Using the definition of derivative, find the derivative of f(z) = x + 5x + 5. %3D

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Q: Use the General Power Rule to find the derivative of the function. g(x) = 5/(7x2 + 4x)3 g'(x) =

A: Rules of Differentiation that are used in the given problem.

Q: By using the first principle, find the derivative of the following functions. 1. f (x) = 3x +

A: We are asked to find the derivative of the function.

Q: Find the derivative of the function. f(x) = (x² + 8) In(x) f'(x) =

A: In this question we need to find a derivative of the given function

Q: Using the definition of the derivative, differentiate the function f(x)=x2+2x−2.

A: To find the derivative of the function f(x)=x2+2x-2 By the limit definition of the derivative,  The…

Q: Use the Product Rule to find the derivative of the function.                          g(x) = (2x −…

A: Given:gx=2x-31-5x

Q: Find the derivative of f(x) = x3 + 2x, use the definition of the derivative

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Q: Use the definition of the derivative to find the derivative of the function g(x) = 4 –x², then find…

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Q: '(a): Using the definition of derivative, find the derivative of f(x) = x² + 1.

A: The given equation is: fx = x2 + 1 The derivative of this equation is found as follows:

Q: Use the Product Rule to find the derivative of the function. g(x) = (x2 − 4x + 2)(x3 − 5)

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Q: Using the definition of derivative, find the derivative of f(x) = x² + 6x + 6. %3D

A: Using definition of derivatives.

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

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Q: Use the General Power Rule to find the derivative of the function. g(x) = V3 - 9x %3D g'(x) =

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Q: #12: use the definition of the derivative to calculate the derivative of f(x)=9x^2

A: Definition of derivative for a function f(x) is given by f'(x)=limh→0fx+h-fxh

Q: Use the Product Rule to find the derivative of the function. F(x) = (x³ – 2x)(4x2 + 4x) f '(x) =|

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Q: Find the derivative of the function f by using the rules of differentiation. f(x) = (1 + 3x2)2 +…

A: f(x)=(1+3x2)2+4x3 Apply the rule of differentiation  WE apply power rule and chain rule to take…

Q: Use the General Power Rule to find the derivative of the function. g(x) =  5 (7x2 + 4x)3…

A: Rules of Differentiation that are used in the given problem.

Q: 4 b) g(x)=15x* In x

A: Given that, the function is gx=15x4 lnx.