In Exercises 13–18, calculate the derivative in two ways. First use the Product or Quotient Rule; then rewrite the function algebraically and directly calculate the derivative. x3 + 2x2 +3x-1 8(x) =

Q: In Exercises 19-40, calculate the derivative.

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Q: In Exercises 17-26, calculate the derivative indicated.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. * u²-3 du…

A: Fundamental theorem of calculus let F(x) = ∫a9(x)P(u) du. Then F1(x) = P(g(x)) x 91(x)

Q: In Exercises 93 and 94, find the derivative using the definition. 93. ƒ(t) = 1/( 2t + 1 ) 94. g(x) =…

A: To determine the second derivative of y at the point (8, 8).

Q: In Exercises 5-24, compute the derivative.

A: The given function is:

Q: In Exercises 19-40, calculate the derivative.

A: Given: The given function is f(x) = x2e2   To determine: The derivative of the function f(x) = x2e2

Q: In Exercises 11–28, calculate the derivative with respect to x of the other variable appearing in…

A: Consider the equation  3y3+x2=5

Q: In Exercises 31-44, use the Chain Rule to find the derivative.

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Q: In Exercises 5 and 6, write the function as a composite f (g(x)) and compute the derivative using…

A: Let us take Then we have By chain rue of differentiation

Q: S(x) = 3f (x) − 2g(x)

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Q: In Exercises 22–27, find a formula for the derivative of the function using the difference quotient.…

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

Q: In Exercises 43 and 44, find all derivatives of the function. 3 44. y = 120 43. y = 2

A: The given equation is y=x42-32x2-x To find all derivative of the given equation

Q: In Exercises 11–28, calculate the derivative with respect to x of the other variable appearing in…

A: Given: y4-2y=4x3+x for finding value of dydx, we differentiating given expression with respect to x

Q: In Exercises 19-40, calculate the derivative.

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Q: In Exercises 29-80, compute the derivative. 29. y = 3x 5 - 7x 2 + 4

A: y=3x5-7x2+4

Q: In Exercises 11–28, calculate the derivative with respect to x of the other variable appearing in…

A: Given Equation:                                              x2y+2x3y=x+y   To determine:…

Q: Can you help with this question step by step please

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Q: In Exercises 1-10, find the derivative of each function using the basic differentiation formulas.…

A: As we know that; The sum/difference rule: f±g'=f'±g' The Power Law: ddxxn=nxn-1 (1). Given:…

Q: Can you help with this question step by step please

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Q: In Exercises 1-10, find the derivative of each function using the basic differentiation formulas.…

A: The solution of question no 8 ia given in the next step.

Q: In Exercises 19-40, calculate the derivative.

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Q: exercises 1-66 find the derivative of the following function g(x)=ln|2x^2 + 1|

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Q: Can i get help with this problem step by step please?

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Q: Can you help with this question step by step please

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Q: In Exercises 39-42, calculate the derivative using the values: f (4) f'(4) g(4)|| g'(4) 10 -2 5 -1

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

Q: In Exercises 7–12, use the Quotient Rule to calculate the derivative.

A: Given that  fx=x+4x2+x+1                ……(1) It is known that the quotient rule for derivative is…

Q: In Exercises 19-40, calculate the derivative.

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Q: Can you help with this question step by step please

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Q: In Exercises 19-40, calculate the derivative.

A: Given the function f(x)=ex(x2+1)(x+4). We need to calculate the derivative of the above function.