Find the extreme values of f(x) = 5 - 2r2, IS1 lx+ 2, x> 1.

Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−(6/7x) and the line…

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Q: the estimate of solution to x=2^-x to 4 decimal places is what?

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Q: Find the second derivative. -5x f(x) = (5 + 4x)e" f"(x) =

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Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

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Q: 0 and f'(x) > 2 for 1sxs4, how small can

A: It is given that f(1)=10, f'(x)≥2 for 1≤x≤4.

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=9−27xf(x)=9-27x, and the line…

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Q: 3. Find the relative extrema using any method. f(x) = (3xe*)².

A: A function f(x) has relative extremum at a point x=a if f'(a)=0. We first find the derivative of f…

Q: I. Find the second derivative 3. y = (x +8) (6x-1)

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Q: Find a root of an equation f(x)=x3-x-1 using Newton Raphson method.

A: We will find out the required root.

Q: Find the higher order derivative. f"(x) = 7x2 + 8x – 18 f(5)(x)

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Q: Solve using linearization using one digit approximation only 1) f(x) = V5

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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: solve the derivative f(x) = e^3x / 1-x^3

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Q: Find the critical points of the function f (x) = 2x³ – 9x² +12x+47. Show all your work.

A: Firstly we find the derivative of the function and then put it equal to zero and find the x values…

Q: Use the Second Derivative Test to find the Maximum and Minimum value(s) of the function 3 f(x) x* -…

A: We have the given function as fx=32x2-4x+lnx For maxima/minima, we need to calculate f'x as…

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

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Q: y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx

A: Given: y=2x3 +5x Point (-2,26) ,(4,148)

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

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Q: Find the x-coordinates of all local maxima using the second derivative test. g(x) = 2° – 3x7 +2

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Q: use the chain of rule to differentiate f(x) = (x^10+ln(x))^10. What is the value of f^1(l)?

A: The given function f(x)=x10+ln x10

Q: Find the higher order derivative. f"(x) = 3x² + 2x – 15 f(5)(x) =

A: f''(x)=3x2+2x-15

Q: ) Find the integration: V1-X

A: Given integration, ∫032dx1-x2

Q: y = x3 + 1,

A: We have to find

Q: Apply the second derivative test to find all relative extrema. (b) f(x) = -x + 4x³ +8x²

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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 the local minimum and local maximum values of the function g(x) = 6x2− 4x3 using both the First…

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Q: If f(x)=(4x)^(ln x) how would you find f'(3)?

A: Obtain the derivative of the function as follows.

Q: Find the average rate of change of f(x) = 3x2 - x from x1 = -1 to x2 = 2.

A: The given function is fx=3x2-x.

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

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

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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 anti-derivative of  s(x)=−7x2.  (Do not include the constant C in your answer.)

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Q: 2) Use the second derivative test to find the local extreme values of y= x5 – 5x³+7

A: Given that, We will find the local extreme values of the function as following.

Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

Q: What is the derivative of f (x) = 6x¯² + 8x³ + 11x + 10 + e"?

A: Given that: f(x)=6x-2+8x3+11x+10+ex

Q: Use the second derivative test to find the local extreme values of y= 2x7-x+12

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Q: 1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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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: Find the first derivative given that f(x) 5x V2r+3

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

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Q: 13: 3. y = V(4x + 3)3

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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 critical valves of f(x)= 3x?

A: We can find the critical values as below.

Q: Approximate fls 3 + 2x* using Simpson's rule (n=6), then find the percentage of error after…

A: nhbgk

Q: y = x* – 4x +1

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Q: Find the higher order derivative. f"(x) = 4x2 + 9x – 16 - f(5)(x) = %3D

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Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

A: