For the function: f(z) = – 5z² + 6, %3D f(z) – f(a) Preview

Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: 5x3 + 6x2 + 2, f (0) 3 and f(1) -2. %3D 15. Find f for f"(x)

A:

Q: Differentiate and simplify

A: The derivative of ln x is 1x.

Q: For the function: f(x) = 4x – 1, find f(z) – f(a) a. Preview f(z +h) - f(x) b. Preview %3D

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Q: Find the intersection  point of f (y) with x-axis.

A: Given the function f(y) .We need to find the point of intersection of f(y) with x-axis.

Q: Evaluate f +3 /1+x4 3 dx.

A:

Q: 4-x dx. Evaluate f: T16-x 16-х2

A:

Q: The range of a function f(x) = 9x – 15 is {-42,39}. Wh %3D

A: Actually from my point of view you want to know the domain of f(x)  because in this question range…

Q: Find the difference of the two functions A(x)=1x-6 and B(x)=x+8x-2 at 6

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Q: Ay 2- -4 -2 2 -2

A:

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f + g)(t - 5) = x - 3. %3D (f + g)(t –…

A: First find the addition of the function (f + g) (x):

Q: Given that f(x) = x² +3x and g(x) = x + 4, calculate (a) ƒ o g( – 5)= (b) g o f( – 5)=

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Q: Let g(x)= 3x +5. Find g(a+1)– g(a)

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Q: 1 -Find all the points where f(2)is analytic. 2+3 Let /(2) =

A:

Q: Find the Domain of f(y)  3y / y-8

A: The given function is,

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.