What is the leading coefficient of f(x) = x^2 + 4x^3 +1? O A. 1 O B. 2 O c. 3 O D.4

Q: What is the derivative of the function  x - 7x(x^1/2) ——————      x^1/2 Use quotient rule and…

A: The quotient rule of differentiation is as shown on the whiteboard.

Q: 3. Use the first derivative test to locate all local extreme for f(x) = x - 9x2 + 24x

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Q: Apply the First Derivative Test to identify all relative extrema. f(x) = -7x³ + 21x +3

A: fx=-7x3+21x+3 Differentiating with respect to x, we get f'x=-73x2+211+0⇒f'x=-21x2+21 Now to find…

Q: What is the Range of f(X) = log X? None of these. (0, ∞) (- ∞, ∞) (3, 0)

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Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

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Q: Analyze the critical points of f (x) = (2x − x2)ex .

A: fx=2x-x2ex Differentiating with respect to x, we get…

Q: Use Second Derivative Test to find the location of all local extrema for f(x) = 2x³ + 15x² + 24x – 3

A: We Know that The second derivative may be used to determine local extrema of a function under…

Q: Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to…

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Q: Find (f - g)(x) if f(2) = 7x³ – 52² + 42x – 30 and g(z) = 7 O (f · g)(x) = 49zª + 269x² + 150 O (f·…

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Q: Can you help me find the derivative of f(x)=x8(x4- 6/x4) (this needs to be solved without using the…

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Q: Use derivative rules to compute f'(-1) given f (x) = -4x8-32x - 4.

A: f(x)=-4x8-32x-4Formula: xn'=n xn-1

Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =

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Q: Find the derivative of f (x) = V3x² In(3x²). 2/3x2 A 3x In(3x²) + V3x2 2 + 3x In(3x²) В

A: Given thatfx=3x2ln3x2To find : derivative of…

Q: Use the first derivative test to locate all local extrema for 3 f (x) = -x'+ = -x' +- x +18x.

A: Explanation of the answer is as follows

Q: 2 - ) at x = 4 1+ x)

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=4−67xf(x)=4-67x, and the line…

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Q: Find the second derivative. y = 6x3 - 5x2 + 3e* O 10x - 36 + 3e* O 10x - 24 + 3e* O 24x - 10 + 3e* O…

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Q: 17. f(x)=-- x*+8x

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Q: Find the 도ite d Point of the Folowing Functionse 2. x3

A: Given function is F(x) = x3 + x2 - 9x + 8

Q: Find f(-3). -2 -4 www.analyzemath.com 1 O 2 Оз -1

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Q: Compute the derivative of f(x) = 5(-x³ + 2x² 10x – x-2). -

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=3−16xf(x)=3-16x, and the line…

A: GIVEN DATA: Triangle is bounded by the equation of line fx=3-16x                         line…

Q: Find the derivative of f(x) = (6x² + 6x – 4)arctan x - 1 (бх? + 6х — 4)arctan x(- In(6x2 + 6x – 4) +…

A: Given function is  y=6x2+6x-4arctan x Taking log to each side, we get lny=ln6x2+6x-4arctan x   We…

Q: 4 6. ν- x3

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Q: Find the equation of the line tangent to f(x)=3x2 +4x+5 at the point (0, 5)

A: Given : f(x) = 3x2 + 4x + 5 A point (0, 5)   To  find the equation of the tangent line.

Q: The derivative of f(x) = (4x3 +6x2 – 5)4 -

A: We havefx=4x3+6x2−54    ..........1

Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: det fi s→ IR be afanction and 8= [-202] 5-+ $$ f(x) = -25x2-1 -15x20 3 05341 2 1<x<2 ร

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Q: 3rd derivative of 5x^4+6x^-4-4

A: Given the function 5x4+6x-4-4. We need to find the third derivative of the function.

Q: Find the derivative of f(x) = (6x² + 6x – 4)arctan x (6x2 + 6x – 4)arctan × (In(arctan(x))- 12x-4…

A: Given function is fx=6x2+6x-4tan-1x. To find derivative of the given function. Solution: Given…

Q: Find the fifth derivative of  f ( x) = 3 x 3 - 7 x 2 + 6. Use correct notation.

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Q: Find the extreme values of on [-2,2]. f(x) = ret, x < 0 2x³9x² - 12x, x ≥ 0

A: Solution of given question is written in below steps.

Q: Shows the derivative function of: 5x³(8 + 5x²)

A: topic - derivative

Q: What rule do you use to calculate the derivative of f(x) = exx2 and f(x)=(x2-3x+1)/(x+5) ?

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

Q: 5, what is f'(x)?

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Q: Use Second Derivative Test to find the location of all local extrema for f(x) = 2x3+21x²+ 36x-1

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Q: Find the derivative of f( x ) = x^9log5(x+5.5) f'(x)=

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Q: use the second derivative test to find and characterize all the relative extremes of f(x)=2x4-24x3+4

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Q: Find the critical points of the function f(x)=x2lnx.

A: We need to find the critical points of the given function.

Q: Find the derivative. ex - (א)h 7+א7 eX-1(7x2 - 14x + 7) (7x2 + 7,2 2-14+7א7 ex. (7x2 + 7,2 eX(7x2 -…

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Q: Use derivative rules to find f'(x). 4. f(x) = (2x² - 3)(3x – 1) %3D

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Q: Ax) = (5 – 3x²)"V6x² - 6x = 8x – 12

A: Given: fx=5-3x276x2+8x-12 To Find: The derivative of the given function

Q: 2. Is the function given by F(x) = x². 5x + 6 continuous over the interval (-5, 5)? Why or why not?

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Q: Find the derivative. 4- 3 y 3 5x 4x+3x2 20x2-15x2 -7 5x O4x3+ 3x2-7 ,家 4x²+3x2 20x-15x4

A: Option D is correct.

Q: 13x

A: