Let f(x)= (x+2)/(x+7) f^-1 (-2)=?

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: 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) = 2x²+3x-1 if f'(-1)

A: Given: fx=2x2+3x-1

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: Use the third derivative test to find the inflection point(s) (if exis 8 function f (x) = x5 - x³ +…

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Q: Find the derivative of f(x) = (6x² + 6x – 4)arctan x 12x+6 бх2+бх-4 1 (6x2 + 6x – 4)aretan x…

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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: 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: = x3-122 +2

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 5 Find the derivative of f (x) = (9x4 -

A: Consider the given: fx=9x4−7x5Find the derivative:f'x=ddx9x4−7x5

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule]

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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: Solve for the second derivative of f(x)=2x-2/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: Compute the derivative. f(x) = (2x 4 - 4x- 1) secx

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

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Q: What is the second derivative of: -(4-x^2)^1/2

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

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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: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: Find derivative of f(x)=2x-7

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Q: Use the second derivative test to find the extreme values of the function f(x) = 13 -3z2-24x

A: Given: f(x)=x3-3x2-24x To find the extreme value of the function.

Q: f(x) =  3 − 3x − x2 x2 − 5  f '(x) =

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Q: Find third derivative of  f(x) = 6x^2-7x+8

A: We have to find third derivative of  f(x) = 6x2 - 7x + 8 The first derivative of f(x) is  f'(x) =…

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 derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule] В I !!

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Q: If we have to integrate a function, what is the first thing come into our mind?

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Q: Give an example of a function that is defined for all real numbers, is continuous everywhere, but…

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

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

Q: 2- 3x +8 2-X2C

A: Use chain rule to find the derivative. The formula for differentiation is  ddxxn=nxn-1

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

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

A: We will find the required.

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 derivative of f(x) = (5x 2 + 3x + 1) × (3x 2 + 2x − 1) × (x 2 − 1). Show all steps.

A: Given:f(x)=5x2+3x+13x2+2x-1x2-1

Q: Use definition to find the derivative of the function f(x)= 2x-3x2 at x = 3 %3D

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Q: Apply the first derivative test to indentify all relative extrema. f(x) = ¹²-2x+1

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Q: Find the derivative of f(x)=-9sqrtx+1/x^10. Type your answer without fractional or negative…

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Q: 13x

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