Use exponent rules to explain why (V5)* = V53.

Q: Use the quotient rule to simplify the expressions.Assume that x > 0. √500x3/√10x-1

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Q: 3 Rationalize the denominator of V2

A: We have to rationalize the denominator of the expression: 32 To rationalize the denominator we need…

Q: 9x+4 f (æ) 5x²–8

A: Given function is fx=-9x+45x2-8. To differentiate the function using quotient rule. Solution:…

Q: Simplify the difference quotients ƒ1x + h2- ƒ1x2 / h and ƒ1x2- ƒ1a2 / x - a by rationalizing the…

A: Now,

Q: tan+cotx- V2 27 k/2

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Q: Find d can'(x²cosbx) clx

A: To find:- Derivative of tan-1(x2 cos(x))

Q: da Use a trig substitution to evaluate x2 V9- x

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Q: When do you use the Quotient Rule?

A: Answer : correct option (d) when you are dividing exponents When we use the quotient rule, than we…

Q: 4. If f(x) = x2 – 7x, find the difference quotient and simplify.

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Q: Differentiate the function. 3 + 4x y = In 3 - 4x

A: Topic:- derivatives of function

Q: How did you get the 100/12 value? Can you show the full work for that

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Q: Write the expression as a simplified rationalnumber. 5/24-3/20

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Q: Differentiate f(x) = (8x³ + 4x )(2x² +5) using product rule.

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Q: describe transformations of the grapf y= square root x into y=-2 square root of x + 3, -5 (-5…

A: We need to describe the transformation from y=sqrt(x) to y = -2sqrt(x+3)-5.

Q: How do you find the derivate by using the product rule for  f(x) = 3x2/3(x-3)

A: Given,

Q: Find the upper 5% point of F7,20.

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Q: Find difference Quotenent of 314x-2 Using f(xth) -fx)

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Q: 6. Find the difference quotient for f(x) = 3x2 - 5x.

A: We need to find the difference quotient for f(x) = 3x2 - 5x.

Q: Rationalize the expression Show your work! Vx + 5 – V

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Q: Differentiate   f(x) = (4x3 + 1)2   using the product rule.

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Q: The term x has no coefficient . Determine whether the statement is true or false. If the statement…

A: the given statement is: The term x has no coefficient. we have to determine whether the given…

Q: Use the quotient rule to simplify the expressions.Assume that x > 0. √1/81

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Q: Find f(5)

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Q: Use the quotient rule to simplify the expressions.Assume that x > 0. √150x4/√3x

A: If a and b are non-negative , the square root of the product of ab is equal to the product of the…

Q: 2. Rationalize the denominator and simplify expression for f (x) = %3D

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Q: Use the Product Rule to show that (f 2)' = 2ff'.

A: Given function is  f2x

Q: Find the upper 1 % point of F2,5.

A: The degrees of freedom for numerator is 2 and the degrees of freedom for denominator is 5. Software…

Q: Make a visual pattern to fit the rule 2x^2-x+4 (using blocks, triangles, squares, rectangles…

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Q: Evaluate the difference quotient for the functio Rx) = Vx

A: Given function f(x) - f(x) = x            .............(1)Difference quotient of a function is given…

Q: Use the discriminant to determine the number of Poots y = 3x2 + 4x +

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

Q: This is how you use simplify using the Product Rule.

A: Our Aim is to simplify the expression given below:-(x-6)×(x2)=?   -(i)

Q: 5x 24. x2 - 18x = -81

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Q: Use increment method. (Show you x° + 2x

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Q: Find mean

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Q: Prob 2 Use the Direct substitution rule and justify why you can use it to evaluate Лет 2-2 ln x + ex…

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Q: Use the quotient rule to simplify (assume x>0) : √(121/4)

A: Given: 1214 we know that if x≥0 then x2=x similarly, 1214=11222=1122=112

Q: Rationalize the denominator.

A: Rationalize  1x+1

Q: Find the inflection points of f(x) = 8x + 110z– 42x2 + 13. (Give your answers as a comma separated…

A: For point of inflections, solve the equation f''(x) = 0 for x. Use the power rule of derivative,…

Q: Rir fcay> [-27x²+1}, find f (-})

A: We use the definition of the greatest integer function to find the value of f-13. The Greatest…

Q: Rationalize the denominator. 7(x-y) Vx - vy

A: The given expression is: 7(x-y)2x-y

Q: Use trig substitution to evaluate: (hint: let x = 3tan0) %3D

A: ∫01xx2+9dx

Q: differentiate g(x) = ex(x3+3x2-4) using the product rule and simplify. must show all steps.

A: Consider the provided function, gx=exx3+3x2-4 Differentiate the provided function using the product…

Q: find f ' (3)

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Q: If f(x) = 6 + 2x 5a2, find f'(- 1). %3D Question Help: DVideo MMessage instructor Add Work Submit…

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Q: Study the sign of f(x) = -x + 6x – 9. %3D

A: Given: - The function is, f(x)=-x2+6x-9 To study: - The sign of given function f(x).

Q: Use Table to evaluate 2x+2

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Q: Use the quotient rule to simplify (assume x>0) : √(96x3) / √2x

A: Given, 96x32x

Q: Rationalize the denominator.

A: We have to rationalize the denominator of the expression: 2x-yx-y In rationalize of this expression…