1, Differentiate the function. (1) f(x)= (2x² – 3x+6) (2) f(x)= 5x² –x- -x+1 (3) f(x)= (2+3x*i — пх (4) f(x)=

Q: Find the higher order derivative  f'(x)=7x2-9x2+4x f'''(x)=

A: We will use the following : ddxxn = nxn-1 ddxc = 0 where c is constant.

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: Find the derivative of f (x) = x3 - 10x2 + 8 .

A: Given : fx = x3-10x2+8

Q: Find the derivative of the function f(x) = -8x² – 18x + 23 by definition of derivatives f(x + h) –…

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Q: Find the critical points and apply the Second Derivative Test (or state that it fails):  f (x) = 3x4…

A: fx=3x4-8x3+6x2 Differentiating with respect to x, we get f'x=3·4x3-8·3x2+6·2x=12x3-24x2+12x Again…

Q: Find invers of function f(x)=1/2x+1

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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: Use the Second Derivative Test to find all relative extrema of the function f(x) = 2x - 6x +7.

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Q: Find the derivative of the funchion f(x)=9x-5

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Q: Find the derivative. f(x) = 20x1/2 - 1x20 %3D O 10x1/2 - 10x10 10x-1/2 - 10x19 10x-1/2- 10x10 O…

A: Given that  fx=20x12-12x20 The derivative property used here is ddxfx-gx=ddxfx-ddxgx and…

Q: Apply the second derivative test to find the relative extrema of the function fx) =x*-18x-3

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Q: How do you find the derivative of f(x)= -2(3x^2-1)^3

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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: If I have f^-1(x)= -x+1 how can I find f(x)?

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Q: Find derivative of f(x)=(2x2+5)4

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Q: Find the derivative of f(x) = (3x − 2x2)3

A: Given function: f(x)=3x-2x23

Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: Find the derivative of the function. f(x)=6x3 − 7x2 + 2/x3 − 3

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Q: Find the anti-derivative F(x) of the function f(x) = 2x - 7 with F(2)=55- %3D

A: We have to find the anti derivative of the given function following the given condition. anti…

Q: Find the derivative of the function. f(x) = (3x + 2)3(x2 + x)2

A: Differentiation use product formula

Q: Find the derivative of the function. f(x) = (2x3 - 8x² + 3)4 %3D

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Q: (B) Use the first derivative test to find the maxima and minima for f(x) = 3. 5z2 + 6x +9. 2.

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Q: find the derivative of f(x)=6x^-8/3-x^-2/3

A: Given         fx=6x-83-x-23

Q: 5. Use the second derivative test to determine whether f (x) = x3 – 9x2 + 24x +5 has a local maximum…

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Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

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

Q: Find the derivative. f (x) 7.) f(x)==x³+2x²–11 x–1 +2x²-11 x-1 6.

A: We have given

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

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Q: 6. Find the local maximum and minimum values of f (x) = 9 + 9x² – 6x³ using both the First and/or…

A: In this question we have to find local maximum and minimum values of the function.

Q: 3) Find the derivative of f (x) = Vx3 – 4x²

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Q: Find Derivative f'(x): f(x)= 5e²x - 40e(-0.1x) + 11 + In(4x)

A: Given f(x) = 5e2x - 40e(-0.1x) + 11 + ln(4x)

Q: Find the derivative of the function using chain rule. f(x) = (4x5 – 2x*)10

A: We differentiate the given function by using chain rule, see attached file for a step by step…

Q: What are the critical numbers of the function f(x)= 2x^(3)-2x^(2)-16x+1?

A: Let's find.

Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75

Q: Find derivative of f(x) = x^4+8x-2

A: We have to find the derivative of  f(x) = x4 + 8x - 2 We know that if  f(x) = xn then  f'(x) = nxn-1…

Q: The function f(x) = 2x³ – 27x² + 108x + 9 has derivative f'(x) = 6x² – 54x + 108. f(x) has one local…

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Q: The first derivative of f(x) = (5x* – 6x)/3 will be 20 A. Gx* - 2) (5x* – 6x)i B. (20x³ – 6)(5x* –…

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