At what value of x does the function f(x) = x^3 - 3x^2 - 9x change from increasing to decreasing

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: Find the derivative of f(x) = \/In(-5x +2x2).

A:

Q: The first derivative of (f(x)- (5x^4-6x)^-3 will be

A: We have to find the first derivative of the given function

Q: Find the derivative of f(x) = -6x 10x10 f'(x) =

A: This question is related to derivatives.

Q: V2 – 3x4 1 x² -4

A: We have to find the derivative

Q: Find the first derivative 10x6/5^2

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Q: The number of licensed drivers in a country (in millions) can be approximated by the function g(x) =…

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Q: Find the derivative of f(x)=-4x2-4cosx

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

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Q: Find derivative of f(x) = (x^3-6)(x+5)

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

A: f(x) = (2x2-3) (3x-1)derivative rulef(x).9(x)' = f'(x)9(x)+f(x)g'(x)or (uv)' = u'v+uv'

Q: Find the derivative of: 2sqrtx + 9/x^3

A: To Determine: Find the derivative:

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: +6x^3-10x/√x

A:

Q: the

A: We will find the derivative.

Q: Calculate the derivative. f(x) = 2x 3 - 3x2 + 2x

A: The function is given as fx=2x3-3x2+2x Differentiate the above function w.r.t 'x'…

Q: How to solve for the derivative of 5x^(1/2)- 4x^(-1/2)-1, fully simplified?

A: Given:5x1/2 - 4x-1/2 - 1To determine the derivative.

Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: What is the second derivative of the function:  f(x) = (9x^2)/ (x^2-49) Please show ALL steps

A: Given function is

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 slope of the line tangent to the graph of the function defined by f(x) = 3x2 – 4 at (1,…

A: Solution:Given        f(x)=3x2-4   at (1,-2)To find:Slope of the line tangent to the graph The…

Q: How do you find the derivative of f(x) = 5 - |x-5| ?

A:

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = x2 – 3x + 4 at…

A: It is given that, f(x)=x2-3x+4   Slope of any function or tangent of any function is defined as the…

Q: Find the derivative of the funcion. y=x-17 +63x+6

A: y = x3-17x2+63x+6 y'=dydx=ddxx3-17x2+63x+6 Here we are gonna use the formula  ddxxn=nxn-1

Q: Find second derivative f(x) = 1/X2-9

A: Given that fx = 1x2-9To find :second dedivative of fx

Q: find the derivative of x^3 + 4x^2+x-2/x

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Q: Find the derivative of (x-x^4)/(7/x^2+6/x^3)

A: Formula used:

Q: Find the derivative of f(x) = -2x Or) - 6x2 Of (x) = -6 x2 Of (x) = -6 x3 %D Or-6x* f (x) = 6 x4 %3D

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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 First derivative of 2(x-2)^2 (x+3)^2

A: Given, y=2x-22x+32

Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.

Q: Find the value of the derivative of the function at the given point. f(x) = 2x2 - 3x; (- 1,5)…

A: The function is given by fx = 2x2-3x To evaluate : The value of the derivative of the function at…

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: Find the second derivative of fx Fx= -4/square root x + 4x3

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Q: Find the second derivative of f(x)=x^-2 when x=4

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Q: f (x) = - 4x² - 6x x²+3

A: The given function is f(x)=4x2-6xx2+3. Find the derivative of the function. Here we use the…

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

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

Q: Find the derivative [(6x-3)(4x-5)]/(4x+3)

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Q: Find derivative of  f(x) = 3x5+5x-120

A: To find the derivative of given function

Q: Find derivative  of f (x) = 5x^6+75x^2-45

A: We have to find the derivative of  f(x) = 5x6 + 75x2 - 45

Q: derivative of 2x^5+5x^3+6=

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

Q: Find the derivative: 1. f(x) = √(-2x2+1)

A: Given fx=-2x2+1  Or you can write it as fx=1-2x2

Q: 13x

A: