F(x)=2x-1/3x+4 find f-1(x)

Q: Find the third derivative. f(x) = 6x9 – 8x6 f"(x) = %3D

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Q: Find derivative of f(x) = x^5-7x^3+8

A: We have to find derivative of  f(x) = x5 - 7x3 + 8 We know that  If f(x) = xn then  f'(x) = nxn-1…

Q: Find the derivative using the Four-step rule f(x)=2x²-3x+4

A: let f(x) be any function then four-step process to computef'(x) = limh→0f(x + h) − f(x)h  by…

Q: f(x) = 4x³ - 12x² + 36x 12. What is the value of the 2nd derivative of the

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Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

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Q: Find the second derivative. f(x) = 6x10 − 17x5 − 12x3 + 5

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Q: Find the 2nd derivative x2+3/5

A: To find the 2nd derivative of x2+35. Solution: Let the given function be y=x2+35. Given function can…

Q: The weekly demand for DVDS manufactured by Herald media Corporation is given by p =-.0005x +60,…

A: To find the revenue function, calculate Rx=x·p, where p=-0.0005x2+60.…

Q: f(x) = 32x − 8x2 find the critical numbers of the function.

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Q: 3x +2x-4 derivative of the function of ƒ(x)= %3D 7x² -9x+2

A: f'(x) = (- 41x² + 68x - 32)/(7x² - 9x + 2)²  The detailed solution is as follows below:

Q: Find the relative extrema of the functions f(x)=-4x2-32x-62. Identify any maximum or minimum by…

A: Given function is Differentiating f (x) with respect to x, we get Now, we will find critical…

Q: ii.) Find the derivative of f(x) = x°(2x* + 5x³ – 3)5 when x = 2. %3D

A:

Q: Using the second derivative criterion, find the graphs of the functions a) F(x) = x*– 8x² +3

A: Given- (a)  Fx=x4-8x2+3 To Find- The graph of the above functions using second derivative.

Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

A: The given function is f(x)=x2+2x-3 at x = -4

Q: 15 f'(x)= 6x° +8x³ - x and the initial condition f (-1)=- 2

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Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: Find the higher order derivative. f ''(x) = 7x2 + 6x − 11

A: We have to find the higher order derivative

Q: 3x2-7x+8 f(x) = Find f'(x) %3D sin (5x2+9x-6)

A: Here we use division rule of differenciation.

Q: Graph each function.

A: The zeros of a function are the point where the function value is equal to 0. These points are also…

Q: Using derivative, find the absolute maximum and minimum of f(x) = 2x3 +3x2 −12x on [−3,3]

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Q: Find f'(x) using the rules for finding derivatives 5x2 - 9x +2 f(x) = 7x + 1 f'(x) =|

A: The given function is  f(x) = (5x2 - 9x + 2)/(7x + 1)

Q: The revenue and cost function for a created of alarm clocks are about R(x)=520x-0.01x^2 and…

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Q: Find the third derivative. f(x) = 4x9 − 7x6

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

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Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: 1. f(x) = 3x² – 12x + 1 at the point (0, 1) 2. f(x) = x² + 1 at the point (0,1) 3. f(x) = x² – 2x +…

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Q: Solve for f(x)+g(x) f(x)-g(x)   f(x)= 3x + 2, g(x)= 2x + 5   SHOW STEPS****

A: Given that the function: fx=3x+2  ,  gx=2x+5

Q: f(x)-f(-1) X-1 Where f (x) = 2x-6

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Q: g(x) = 27x2 - x3 concave upward (-x , g) concave downward (g , x)

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

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Q: -f(x) = x2 +3x-40

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Q: equation and the initial condition. 8. f'(x) = 9x² + 1, f(0) = 7

A: Given problem:- Solve  f'(x) = 9x² + 1, f(0) = 7

Q: f(x) = (x² + 5x + 2)³ f' (x) = f'(4) = Natu

A: Use differentiation rule to calculate value

Q: Describe the end behavior for this fucntion F(x)=x^5-3x^3+2x-4

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Q: Find f'(x) using the rules for finding derivatives 4x2 - 7x +6 f(x) = 2x + 1

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Q: - I5 § Continuous xa2 X2ス X=2 Xくス -2X

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: f(x)=x^4-x^3-12x^2

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Q: 5x – 2 Find the second derivative of f(x) =x3/2 -1/4,

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Q: 1. find the derivative 2x² - 6x³ + 5x²-3x + 17 Enter your answer

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

A: We have given

Q: find the derivative  f(x)= (x1/3-5)(x2/5-3x1/5+4x-1/3)

A:

Q: Find the derivative. (with solution) f(x)=2x²-3x+5

A: The derivative of a function is given by the expression limh→0f(x+h)-f(x)h. For some standard…

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

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

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…

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.