Derivative 2. Use the chain rule to find the derivative of f(x) = (3x² – 9)-4

Q: Find the derivative of the function using the definition of derivative. g(x) = V6 - x %3D g'(x) =…

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Q: f(x)=(x^3-25x)/(7x^2+1) Use the first derivative test to find the critical points.

A: Given: The function, fx=x3-25x7x2+1.

Q: f(x+Ax)- f(x) Using the first principle of derivative f'(x) = %3D Ax Ax-0 Differentiate: y 4x - 6

A: Derivative of the function

Q: B. Compute the derivative function f using the definition of the derivative. Show your complete…

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Q: Derivative of h(x)= (x+5)^4(2x-1)^2

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

Q: Derivative of y=(x3+4x2-9x-36)/(4x2+28x+48)

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Q: 2x+1 Find the derivative of y= 2x-1

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2x+1 Ise Derivative Rules to find the derivative of g(x) x2-1

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Q: Find the derivative. y = 5^3x-1

A: Given y=53x-1 dydx=ddx(53x-1)

Q: 3 + 3x – 5 Find the local maximum by solving the derivative P'(x)=0, – 2x + -- %3D |

A: Given Find out local maximum

Q: 3-2x Find the derivative of y = 3+2x

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Q: x2-4 %3D b) By use derivative sketch the function f(x) 2x

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Q: (b) Using implicit differentiation Find the derivative of 1. y³ + 3x²y = 13 with respect to x and…

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Q: Use the second derivative to discuss concavity. The second derivative is y’’ ={2x(x2+3)}/ (x2-1)3

A: given,  y''=2xx2+3x2-13 we have to discuss the concavity using second derivative.

Q: derivative of the firm's profit function is F'(x) = -0.03x2 + 3x - 100, where x > 0 is the output…

A: We will use the basic knowledge of functions and derivatives of functions to answer this question.…

Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4 – x² f(x) 7+ x2

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Q: Find the derivative of y = 2^x + 6/x^7

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Q: (b) f(x) = (3x – 2a²)³

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Q: of

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Q: derivative of the firm's profit function is F'(x) = -0.03x2 + 3x - 100, where x 2 0 is the output…

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Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: Find the derivative y’ Y = 1n (x^3 - 5x^2 + 7)

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Q: 2x+1 Use Derivative Rules to find the derivative of g(x) x2-1

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Q: 4ニ-3x*+2x ty Find derivative of yzfu) only using 4 definition of derivative

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the derivative of the function using the definition of a derivative. State the domain of the…

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

Q: Find derivative by Quotient Rule and by simplifying first.

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Q: Find the derivative of y with respect to x. (x-y)^2=2ax

A: The given function is: (x-y)2=2ax To find the derivative of y w.r.t. x.

Q: 4) Use the Chain Rule instead of the Quotient Rule. 4 Find the derivative y= 2x +1

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Q: 17. f(x) = x2 + x – 3

A: Answer is f'(x)= 2x+1. Explanation is given below using the limit process....

Q: Find the derivative of the function. f(x) = ex2 + 2

A: We use the chain rule for derivative

Q: A1) Using the definition of derivative, find the derivative of f(z) = x + 5x + 5. %3D

A: Given f(x)=x^2+5x+5 Now we will find the derivative of given function using definition of derivative…

Q: find the instantaneous rate of change of f(x)=x^2+3x at x=3 using the formula for definition of a…

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

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Q: V. HIGHER DERIVATIVES AND CHAIN RULE 2. y = x²(x – 1)³(2x – 5)² 3. f (x) = V1 + V1-x

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Q: 2x' Vx Use the power rule to find the derivative: 3 1 f (x) = 2Vx+ 2x

A: From power rule of derivative we know that if y(x)=xn then y'(x)=nxn-1 We use the power rule of…

Q: derivative of y with respect to x. Use the given relation in its implicit form. (x - y)2 = 2ax.

A: We will find the derivative.

Q: termine the derivative of the function g(x) In x+ 10 %3D r- 10

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Q: differentiate y= (4x + 3)2 using the Chain Rule. a. What is the outer function? b. What is the…

A: Given, y=(4x+3)2 differentiate using the chain rule.     Find:  a. What is the outer function? b.…

Q: b. TRUE or FALSE. It is appropriate to use the chain rule to find the derivative of the function f…

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Q: 2z - 8z Use the chain rule to find the derivative of f(x) = 3e f'(x) =

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Q: Fx 4x2cos x find the derivative of fx

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Q: 5x f(x) = 2) Find the first derivative given that 2x+3

A: ddx(5x2x+3)=5.ddxx2x+3(uv)'=u'v-v'uv2=5.ddx(x).2x+3-x.ddx(2x+3)2x+32=5(2x+3-2.ddx(x)+ddx(3)x22x+32x+…

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

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: f(x) = (2– 3x)® (Be careful with the chain rule) +1 f(x) = f(x) = X²VI+x² (You need to be careful…

A: The first question needs the chain rule.

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the derivative of the function using the definition of a derivative. State the domain of the…

A: Plug f(x) and f(x+h) in the definition of derivative.Express them as difference of cubesApply…

Q: Given f(x)=x(x-1). a) Find first derivatives of function f(x) using product rule and chain rule.

A: Our objective is to find the derivative and critical points.