Example. Differentiate f(r) = (4r"-5x+4(72-z). n

Q: F(x) = x-4, 16 - x2, x< 4 x 2 4 6. 3 4.

A: By the given function

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

A:

Q: How/why does f(x)=10/x become f(x)=10/x^2?

A: The process of how f(x)=1x become f'(x)=-10x2 has been explained in next step.

Q: Sketch the graph of:

A: To sketch a graph follow the steps given below. 1) Calculate the x- intercept by taking y=0. 2)…

Q: .22メ-3 when x=-3 G-メフナス

A:

Q: If  f(x) = x2 - 2x - 2  then f(-1) =

A: Given, f(x)=x2-2x-2 we can obtain f(-1) by substituting x=-1 in f(x)=x2-2x-2

Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: 3x-1 and g(x) За—1 f (x) = 7 x-3 ||

A: Consider the following functions: fx=3x-17gx=2x-3 gfx=2fx-3=23x-17-3=23x-1-217=23x-227=143x-22

Q: 4) Find f(x - 1) when f(x) - 4x2 - 4x - 7.

A: f(x) = 4x2 - 4x - 7 f(x-1) = ?

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: f(x) = (1 – x²) |

A: Given query is to draw the function.

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

A:

Q: snip

A: Given polynomial function is: fx=x7+6x5-x4+x+2 We will check whether 23 is a zero of f(x).

Q: Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 13. f(x) = (x³ - Зx)(2x? + Зх + 5)

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

Q: 29.Differentiate the function. y=√4x-5-√x /9  y' =

A: Using chain rule of derivative,

Q: (1 point) If f(x) = 7+ 2x – 4x² then f'(-4) =

A: Solve the function

Q: Find and classify the extremes value of f(x) = 6x* – 4x° over the interval [-2, 2].

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Where is f(x)%3D4(x-2)+2(x-2) increasing?

A: Here, fx=4x-212+2x-232

Q: 57. f(x) = 5x² at x = 10

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 2. If f(x) =-x +2x-5, find f(-2).

A:

Q: Let f(r) = 5z² +3x +5 f'(x) = f'(3) =

A:

Q: Estimate f'(5) if f(x) = 3* %3D

A: Given:- f(x)=3x We have to calculate the f'(5)

Q: How will the function f(x)= -(x+4)^3-8 be transformed from its parent function?

A:

Q: 4. Differentiate using first principles. f (x) = -3x² + 4x + 6

A:

Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

A:

Q: Find derivative.

A: Given: The function, fx=x46-9x.

Q: What is (go f)(-1) if f(æ) = 2x + 3 and g(æ) = ? %3D

A: When two functions are combined in such a way that the output of one function becomes the input to…

Q: 1. Use synthetic substitution to find f (-2) if ƒ (x) = 2x* – 5x³ – x + 13.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: f (x) = x2 - x - 2; [-4, 5] [-4, 10]

A: The function is the unique relationship where each x is mapped to a unique y. It can be of any type,…

Q: Evaluate f √x² - 16 8 -dx

A: use the substitution method for solving the integral.

Q: -9 f(x)= V9-x Answer: V9-x?' (9-x²)}*²

A:

Q: 21. f(x)=7x-2

A: here in 21 using the definition of derivative we get

Q: solve

A:

Q: Differentiate the function 7) a) f(x) = - 2

A: Here we have to find the derivative of the given function.  Here we use some standard formula of…

Q: Calculate R_5 for f(x)=2x^2+8x over [-1,1].

A: Given: fx=2x2+8x The interval is -1, 1

Q: 3 Let f(x) : 4x + 6

A: f(x)=34x+6=3(4x+6)-1 ddxxn=n xn-1

Q: If  f(x) = x2 - 2x - 2  then f(-2) =

A:

Q: Describe the long run behavior of f(x)=-2(4)x+4

A:

Q: Calculate R8 for f(x)=7-x over [3,5].

A:

Q: Al6)- (;) ) A (;) - (:) |zuso -gsino) f) A(3); (xsine +yuno

A:

Q: Date ! الموافق find the equatlon F(X) 4x + 6 X- 6x -5 ab 2 2 F(X)_4x?

A: The given function is:f(x)=4x2+6x2-6x-5To find the equation of tangent line at x=-6

Q: 30 y = f(x)| 10 -4 -20

A:

Q: 5x +2 Q5. If f(x)=: 3x -x then find f'(2)

A:

Q: 3. Given that f(x) = -x³ + 4x- – . Evaluate the value of f"(-)

A:

Q: 8. How many times is x= 1a root of f(x) = 2x -7x + 9x -5x +1? How do you know?

A: Solution :-

Q: Differentiate f(x) = x² – 3x by first principles“

A: Given f(x)=x2-3x

Q: 7. State the restrictions on f(x) 2x 3x-6

A:

Q: find f please

A: given:

Q: 8. Find the zero of f(x) = 5x - 3. %3D

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

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.