2. Finc Flx+1) uwhen fCx)= X-3

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

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Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

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: 5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

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Q: (4-х, XS0 10) Determine if the function y(X) = 3x, is differentiable at x =0. x>0

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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: 3. Is the function given by x²-4x-5 -,x< 5 f(x) =. x-5 x+1, x 2 5 continuous atx=5? Why or why not?

A:

Q: Find the derivatives of the functions in Exercis y = (4x + 3)4(x + 1)-3

A: y=(4x+3)4(x+1)-3

Q: 5. Use the definition of derivatives to find f'(2) given that f(x) = 2x² -r+1

A: According to our company guidelines we are supposed to answer only one question since you have asked…

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

A:

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: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

Q: What points is the function y=|5x-1|+7sin(7x) continuous?

A: we have given function y=5x-1+7sin(7x) we know that  sin(ax) is continuous everywhere hence sin(7x)…

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

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Q: Determine all critical values for the function f(x)=20x3-3x5   y=4x2-128sqaurerootx

A: Part (a):Consider the given function.

Q: The second derivative of f(x) = ex²-8 is %3D Font Sizes

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Q: Use the second derivative test to find the local extrema for the function. y = 3x5- 25x3 + 60x + 20

A: We can use the application  derivative in order solve the given problem.

Q: 17 Use the definition of derivative to evaluate the derivative of f(x) = 2x2 − 4

A:

Q: Find the critical points and apply the Second Derivative Test (or state that it fails): f (x) = x5 −…

A: f(x)=x5-x3

Q: Use secant method to estimate a root for function f(x)= x3 + 2.7x+ 2.6 = 0, starting for interval…

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

A: Local extrema.

Q: [4] 2. Find f'(x) using the limit definition of the derivative. Credit will not be given for any…

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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: Let f(x)=9−(4x^2+3x). Then according to the definition of derivative

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Q: 6. Use the definition of derivative to find f'(x) if f(x) 3D х2 — Зх — 4

A:

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: Find the second derivative or f"(x) for f(x) = / 2x + 5. %3D 1 (2x + 5)3/2 (2x + 5)!/2 (2x + 5)3/2…

A:

Q: find the critical points and apply the Second Derivative Test (or state that it fails). f(x) = x^2 −…

A:

Q: Find the derivative and state the domain of f(x) = In(x + 4) %3D

A: In this question, concept of derivative is used. Derivative The derivative expresses the rate of…

Q: find the critical points and apply the Second Derivative Test (or state that it fails).…

A:

Q: 3. Use the limit definition of a derivative to find f'(x) if f(x) = 3x2 - 5x %3D

A: f(x)=3x2-5x

Q: Find the specific that h (-3) =7 function satisfies hlx)こ 6-5x+x and

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Q: evaluate the derivative of the function at the given pointf(x)=-4/(2x2-3x)4 , (1,-4)

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Q: Find the value k that makes the function continuous. kx f (x) = x > 9 - -7x – 7, x < 9

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

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

A:

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: For what value of the constant c is the function f continuous on (-∞, 00) ? if x < 3 cx2 + 8x F(x) =…

A: To find: The value of c if function is continuous at -∞,∞. Given: The function is fx=cx2+8x   if…

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

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

Q: 5. Use the Second Derivative Test to find all local extrema of the function below. (3 points total)…

A: To find the local extrema of the given function f(x)=x4-4x3+2

Q: Find the slpoe of the secant line between the values x 1 =-1 and x 2 =3 for f(x) = 8x - 3

A: Givenf(x)=8x-3x1=-1  x2=3

Q: The derivative of f(x) = 10 (x2 + 13z) is О 10х + 130 О 10х ?(2т + 13) O 10 O -10x 3(2x + 13) O -…

A:

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

A:

Q: 2. Use the definition of the derivative to find f'(7) if f(x) = 4 + 3x – 2x.

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Q: Find the derivative of the function * 15 f (x) = (18x + 23) 3 1 12x 12 f' (x) = f' (x) = (18x² + 23)…

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Q: Find the local extremes of f (x) = x³ +2x+ using the first derivative test.

A: Given,         The local extremes of fx=x3+34x4 using the first derivative test.

Q: For what value of x does the function f(x) = x³- -4x attain the absolute maximum %3D in the interval…

A: Given that : The function f is  fx=13x3-4x   ,..........(1) To find: The value of x∈-5, 5 for which…

Q: ***** Find the derivative of the function. Express the 2+3 f(x) 4- x2

A: The function is in the form of u/v. Kindly follow the attached imaged.

Q: Find the derivative by the limit process. Rx) = 4x3 + 2x2 %3D f (x) = %3D

A: Given: f(x)=4x3+2x2 To Find: Derivative by Limit Process. Concept: dfxdx=f'x=limh→0fx+h-fxh

Q: find the critical points and apply the Second Derivative Test (or state that it fails). y = 6x^3/2 −…

A: