Suppose that f(x) = 11x² – 7x. Find:

Q: Find f"(x) for the function. f(x)=(7x^2-2)^6

A: Find f"(x) for the function. f(x)=(7x2-2)6  Derivative of y= (ax2 +b)n  y'= n(ax2 +b)n-1.(2ax)  And…

Q: Find the value of f(x) = 12x6 - 8x4 + 1 at x = 4.

A: f(x) = 12x6 - 8x4 + 1 at x = 4

Q: FIND THE DOMAIN OF f) = V9-6x+x

A:

Q: Find f'(a). (x) = 4x2 - 5x + 3 f'(a) - 0

A: Given ; fx = 4x2 - 5x + 3

Q: Find f' (2) for f(x) = x²e2¤-3

A: To find the derivative of the given function we have to apply chain rule of differentiation and the…

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

A:

Q: Find the domain of f(x) 2x / x2+1

A: The given function is,

Q: find f' (7) , f(x)= 2x^2

A:

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

A:

Q: Find the the domain of the function f(x) x + 3 x2 + 10x 11 -

A: Given function is  f(x)=x+3x2+10x-11 Which is not defined if denominator part equals to zero.

Q: If f(x) = 2−2x, what is f(−4)?

A: The explanation of the solution is :

Q: What is f(12) for the function f(x) = 2x + 3 ?

A:

Q: Find the domain for (f- g)(x) when f(x) = v9x +7 and g(x) 10 8x

A: The domain of a function f(x) is the set of all possible values of x for which f(x)  is defined.

Q: Apply the three-step method to compute f'(x) where f(x) = 9x² + 2. %3D

A: Given  f (x) = 9x2 + 2 .

Q: If f(x) = 2−2x, what is f(5)?

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

Q: Find f'(a) for the function f(x) = -4x^-2. Thanks!

A:

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: Let  ƒ(x) = 6x2 − 2 and g(x) = x2 − 2x + 5 to find the value. ƒ(t + 1)

A: Given: fx=6x2-2gx=x2-2x+5 The objective is to find the value of ft+1

Q: Find f'(x) for f(x) = (5x – 4)³ -

A: Derivatives

Q: As x approaches negative infinity, which of the following describes the end behavior of f (x ) =…

A: Given, fx=-x7+bx3+cwe have to find the behaviour of this function.

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: Find f(9(x)) when f(x) = 2x +1 and g(r) = 2? +

A: On solving this we will get

Q: Simplify the difference quotient ƒ1x + h2- ƒ1x2 / h for the follwing function. ƒ1x2= x2

A: Given function: f(x)=x2

Q: If f(x) = 18z + 9, find f'( – 1).

A:

Q: Find the inflection points of f(x) =x* +x° – 18x² +6. |

A:

Q: Find a polynomial f (x) that satisfies the equationxf"(x) + f (x) = x2.

A: Quadratic equation are those equation in which highest power of the equation is 2 and it has two…

Q: Find the domain of f(x) = V3x + 12.

A: Given function: fx=3x+12 The objective is to find the domain.

Q: Find f' (x) for ƒ (x) = 8x° – 3e".

A: Given : fx = 8xe - 3ex

Q: If f(x) = 3x – 3e", find: f'(x) = f'(3) = %3D

A:

Q: What is the end behavior of the function f(x)=2ex?

A: Given: The function,  f(x) = 2ex

Q: Find f'(x) of f(x) =3 + 2x²

A: Consider the given function fx=3+2x2   Differentiate the given function with respect to x.…

Q: Find f'(x) and f"(x) of f(x) = 11x³.

A:

Q: find the concavity... f(x)=xsqrt(9-x^2)

A: To determine the concavity of the function f(x).

Q: If f(x) = 5 + 6x – 2x?, find f'(3).

A:

Q: Let f(x)=4(13)2x. Which is equal to f(1)?

A:

Q: Calculate R5 for f(x) = 4x² + 8x over [-1, 1].

A: The given function is, f(x)=4x2+8x The interval is [-1,1] that is, -1,-35,-35,-15,-,15,15,15,35,35,1…

Q: Find the domain of f

A: f(x)=2x+7

Q: Find the f’’(x) of x3 – 5x + x.

A:

Q: Find the average of the function f(x) = 9x² - 8x over [0, 8].

A:

Q: Find the domain of f(x) = v3x + 7

A: To find: The domain of the function fx=3x+7 The domain of the function is the set of input values of…

Q: If f(x) = V2x + 6, find f'(x). %3D

A: Given, fx = 2x+6  We have to find f'x

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

A:

Q: Find f such that f′(x)=7x2+9x−2 and f(0)=7.

A: We integrate the given function and use the given condition f(0)= 7 .

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

A: The given function is f(x)=x3-9x+9

Q: If f(x) = 5 + 4x – 2x?, find f'(4).

A:

Q: Find f'(0) for the function f(x) =5xe²x %3D

A:

Q: f(x) = x²+6x+5 2-1

A:

Q: Find f'(x)and f"(x) of f(x) = 11x3

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.