Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = 8x−1 + 6x−2

Q: Calculate the derivative of the function. HINT [See Example 3.] h(x) = 3[(2x – 1)(x – 1)]¬1/3 h'(x)

A: To find detivative of the given h(x)

Q: r* - 6 Calculate the derivative function of g(x) Write your result as a single fraction. %3D 4x + 1…

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] f(x) = 4x0.5 + 9x−0.5

A: Consider the given function, fx=4x0.5+9x-0.5 The derivative of the function can be defined as,…

Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = square root of 9x+x^2

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Q: Question Select your answer. Find the derivative of f(x) = -x² + 4x + 3 with respect to 4x + 2 x.…

A: Let's find.

Q: Tutorial Exercise Find the derivative of the function. 2 h(x) = -+ 10vă Step 1 8. We want to find…

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Q: Calculate the derivative of the function. HINT [See Example 1(d).] f(x) = |-9x + 8| f '(x) =

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = x−2 − 5x−1 − 6

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Q: can you show me how I would find the domain of the derivative? What’s the difference between the…

A: We need to find Domain of derivative.

Q: Complete detailed solution. What is the derivative of 6 f(x)=(√2-1)(3√x+1)

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x)=1/x - 1/x7

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] 4 2x r(x) = !! + | 1.1 2 3x r'(x)…

A: we have to find the derivative of the given function

Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = 1/3x-1   f '(x) =

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Q: Use the General Power Rule to find the derivative of the function. y = 12 3 4x2 + 7 y' =

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Q: Write True if the given derivative of the function is correct. If it is false, write the correct…

A: Dear student, Please verify and check that my answer matches with the answer given in your question.…

Q: Complete detailed solution. What is the derivative of 3 f(x)=4x² + -5 √√x

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Q: Use the chain rule to find the derivative of 5(- 5x- 82)4 You do not need to expand out your answer.

A: We can use the chain rule. Detailed answer is given below.

Q: Using the definition of derivative, find the derivative of f(x)=x^2+3

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] h(x) = 6/x - 2/x3 +1/x4

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) =  1/x  - 1/x^2    g'(x) =

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Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] f(x) = 6x2 + x…

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

Q: Complete detailed solution. What is the derivative of 1 1(x) = (2+²+ -x)(-+1+√x²) x+1

A: To determine the derivative of fx=12x-2-x-1+x4x+1

Q: Find the derivative of the function. HINT [See Examples 1 and 2.]   r(x) = 5x/6 - x0.1/5 + 7/6x1.1 -…

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Q: What’s the derivative ? f(x) = xe^-x3

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Q: Find the derivative of the function. y = 5e4x2

A: I have Provided this answer in step-2.

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = x-2 - 7x-1 – 6 g'(x) =

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Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = (x4 - x)4

A: Given that the function is        f(x) = (x4 - x)4 Here we calculate the derivative of the function.…

Q: Determine the derivative of the function g(x) = 3x + 4 / 74x. Do not simplify your answer.

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

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Q: Please help (Please do not expand the answer)

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Q: Question Find the derivative of f(x) In (3x³ + 2x²). Provide your answer below: f'(x) = O

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Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = (5x - 1)-2 f'(x) =

A: f(x) = (5x-1)^-2 f'(x) = -2(5x-1)^-3 * d/dx (5x-1) f'(x) = -10(5x-1)^-3

Q: Calculate the derivative of the function. HINT [See Example 1.] 1 f(x) 5x - 3 f'(x) =

A: Answer: f'(x)=-55x-12

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = 6x-1 + 5x-2 g'(x) =

A: We will differentiate g with respect to x :

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = x-2 - 7x-1 - 8 g'(x) =

A: We have to find derivative

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the…

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Q: Compute the derivative function  f '(x)  algebraically. HINT [See Examples 2 and 3.] f(x) = 7x2 +…

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Q: DETAILS LARAPCALC10 2.2.014. Find the derivative of the function. g(x) = 4x² + 8x³ %3D

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

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = x-2 - 3x-1- 2

A: Given function is

Q: Ax³ + Bx + 2 , x2

A: A function is defined as continuous at a point when the left-hand limit, right-hand limit, and the…

Q: Use the chain rule with the product and quotient rules Question Find the derivative of (4х — 3)6…

A: The given function is,

Q: Find the derivative of the function, y (7x + 5)(x -2x) Need Help? Read Weich 13. I- Find the…

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Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] 9x f(x) b (k # 0)…

A: Given:- The function is, f(x)=9xk-b (k≠0) To compute: - Ther derivative of the given function f'(x)…

Q: x2 - 6 Calculate the derivative function of g(x) Write your result as a single fraction. 2x + 1 =…

A: Given: g(x)=x2-62x+1

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: 3x-8 What is the derivative of ? Do not simplify your answer. 4 -x2

A: We have to find the derivative of the expression: 3x2-84-x2 Let y=3x2-84-x2 In this case we will use…

Q: Find the derivative of the function. HINT [See Examples 1 and 2.]   h(x) =  7/ x −  2/ x3 +  1/ x4…

A: The given function hx=7x-2x3+1x4      =7x-1-2x-3+x-4 Differentiate with respect to x using the…

Q: x² +1 Find the second derivative of the function, f(x)= x² -4 %3D

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Q: Ax³+ Bx + 2 ,x2

A: Given :- f(x) =    Ax3 +Bx+2          , x<=2                Bx2 -A                   , x>2  To…