evaluate f(x)=2x2+3X-1   using the following value: f(a +h)-f(a)/h

Q: When f(x)=9x2−3x−1, evaluate f(−3) f(-3)=

A:

Q: If f(x2-3)=2x2-3, find f(0).

A:

Q: Apply the difference quotient f(x)=2x^3-5x^2-6x+3

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Q: What is f(3)? f(x) = 3x²+9 x +1 f(3) = [? ]

A: Given the function fx=3x2+9x+1 We shall find f3 i.e., the value of the given function at x=3

Q: What is (fo g)(11) if f(x) = V – 3 and g(x) = x – 7?

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Find  f ′(a)  f(x) = 2x4,    a = −1

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Q: f(x) = x + 4x + 3 for function (f')-'(8) =?

A: The given function is: f(x)=x2+4x+3 Therefore the derivative of this function is: f'(x)=2x+4

Q: Find the domain of f(x) : V=7x – 9 -

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Q: Find the difference quotient (x+h)-f(x) h 3x+7 2.2x2-1

A: Difference of quotient =f(x+h)-f(x)/h

Q: Determine f(x) given that f'(x) = 12x2 – 4x and f(-3) = 17

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Q: What is the domain of the function f(x) = Vx - 3x²?

A: To find the domain of the function fx=x-3x2.

Q: For f(x)=x+6sqrtx, find (f^-1) (55)

A: Given data: The given function is f(x)=x+6(x)1/2. The given expression can be written as,…

Q: When f(x) = 4z + 3x – 2, evaluate f(- 3) | f(- 3)

A: f(x) = 4x² + 3x - 2 Putting, x = - 3, we get, f(- 3) = 4(-3)² + 3(-3) - 2 So, f(-3) = 36 - 9 - 2 So,…

Q: Which is a reasonable domain for the function f(x) = 10x + 8?

A: We have to find the domain of function f(x) = 10x + 8

Q: If f(x) = 2−2x, what is f(−4)?

A: The explanation of the solution is :

Q: Find (f-1)'(a). f(x)=5x3+4x2+5x+2, a=2

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Q: f(x) = 9(x2)

A:

Q: If f(x) = 2−2x, what is f(5)?

A: We find value of function for specific value of x.

Q: What is f(x^2)? *

A:

Q: What is the y-coordinate of the inflection point of f(x)=x³-x²-x- 1?

A: Inflection point of a function  is the point at which second derivative is 0.

Q: For the function f(x) = 3x + 5, what is f(x) when x=3?

A: If fx is a function the value function at x=a is calculated as f3. Consider the given function,…

Q: What is the value of f(x)=-4r+2 when x = 5?

A: on putting the value of x in given expression we will get the answer that will be

Q: Simplify the difference quotient et h+0, for f) -2x-x+2.

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Q: If f(x) = 6 + 7x – 2x?, find f'(2). -

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Q: What is f(3) for the function f(x) = 4x + 7? f(3) =

A: Put value in function

Q: Write the f(x) = |3x − 1| in its piecewise-defined form.

A:

Q: For the function f(x) = 3x-2x-3x +2, find "(X). Then find f"(0) and "(4).

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Q: What is f′(x) when f(x)=7^9x?

A: If the given function is g(x)= af(x)  then its derivative is given as- g'(x)=af(x) (logea)(f'(x)) We…

Q: what is the value of f’(0) if f’(x)=(x^2-2x-1)^2/3?

A: We have to find value of f'(0).

Q: For the function f(x)=8x2−18x+5, use f(x)=−4

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Q: which is f-1 (x)? f(x)= 1/5x + 3/5

A: Given, fx=15x+35 We have to find f-1x.

Q: If f(x) = 10x + 8, what is f(10)?

A:

Q: Which is a reasonable domain for the function f(x) = 14x + 12?

A: our objective is to find the domain

Q: Use f(x) = -4x+1, h(x)= |9-3x| Find h(8) -f(-7)

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Q: Given f(x) = |2x – 1|, find f(-3).

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Q: I need to find f"(x) when f(x)= (x2+10)6

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Q: For the function f(x)=2x2+x, find f(-5).

A: f(x)=2x2+x

Q: Let f(x) = 2x² – 12x + 3. For what x-value isf' (x) = 0? x =

A: To find: The values of x at which f'(x)=0. Given information: The function is f(x)=2x2-12x+3.…

Q: Find (f-1)'(a). f(x) = 4x3 + 4x² + 8x + 4, a = 4

A: Derivative of inverse of a function

Q: For the function f(x) = 5x³ – 3x°, |

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Q: A- TI x + 2 51. f(x) = ;² – 3x – 10 -

A:

Q: Find f'(x) when f(x) = Vx³ – 9x + 9. - f'(x) =

A: The given function is f(x)=x3-9x+9

Q: Given f(x) = 5x² – x + 2, find the following. -

A: According to the problem, we have

Q: Find the difference quotient x) = 2x² + 3x 2 - f(a+h)-f(a) h where h 0 of

A: Given query is to find the difference quotient.

Q: Find (f-1)'(a). f(x) = 5x3 + 4x2 + 6x + 1, a = 1

A: Topic:- application of derivatives

Q: If f (x) = 3x +7, find: f(3) = [ ? ]

A: we have to find f(3)

Q: For what value of x does f(x)=7^x first exceed (x)=42x+12?

A: Answer is written below

Q: If f(x) = 10x + 17, find f'(-3).

A: Given,  f(x)=10x+17 f'(x)=10

Q: Find the points of inflection. 7) f(x)=x√/9-x²

A:

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.