1. Sketch the reciprocal of the function f (x) = x - 6.

Q: Q1) The dervative of the function f(x)= |x+2, using the definition of derivative is 1 b)- a) x+2 x+2

A:

Q: Express the function in the form   f ° g  ° h

A: We will use the most inner function=h(x), then next one=g(x), and the outer one=f(x)

Q: Consider the functions :  f(x)=√x and g(x)=x-1 Solve for- (f°g) (x)

A: Given:

Q: Select the correct answer for end behavior of the function: As a → -0, ƒ(x) → As x → 0, f (x) →

A: we have to check

Q: 3. Determine the derivative for the following functions from first principles a) 4x³ – 10x +2 b) 4-x

A:

Q: Find the domain of the function. f(x) = ln(x^2 + 1)

A: Definition used:The domain of a function is the complete set of possible values of the independent…

Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: Locate the discontinuities of the function. 2 f(x) = 1 + e7/x

A:

Q: 2. Find the derivative and the analytic domain of f(2) = 1+ %3D 22+1

A:

Q: 3) Let f (x) = e=x² Where is y'> 0? What does this tell you about the original function?

A:

Q: Find the domain of the function. f(x) = √(ln x)

A: To find domain of the function fx=lnx. Solution: Domain is the input value for which a function is…

Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx) is,

A:

Q: Give two applications of the derivative f(x + h) - f(x) f'(x) = lim h

A: The given function f'x=limh→0f(x+h)-f(x)h is the derivative by first principle.

Q: 10) What is the domain of the function f(x) = Eo?

A: Domain

Q: Use the first principles definition to determine the derivative of the following quadratic function:…

A:

Q: 1) Find the hundredth derivative of p (x) = (x + x° + x')'º(1 + x²)'' (x³ + x° + x'). Justify your…

A: Here we have to find the hundredth derivative of p(x)=(x+x5+x7)10(1+x2)11(x3+x5+x7) .

Q: Find the inflection points of the function f(x) = ln(x^2 + 1)

A:

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is:

A: Given f(x) = ex - 1

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is: |

A: Given,                 f(x)=ex-1

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

A:

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A:

Q: 1) Use the definition of the derivative to find f'(x) f(x) = (4x + 1)(3 – 7x³) Step 1: Step 2: Step…

A: Topic:- function and it's Derivatives

Q: 9. If y varies directly as x, and y is 42 when x is 12 A) Write a function that represents this…

A: NOTE: Refresh your page if you can't see any equations. . to remove the proportionality sign we…

Q: If f is a one-to-one function with f(2) = 8 and f'(2) = 6, find the equation of the line tangent to…

A: Give f(2)=8 ,f'(2)=6  Using this we can derivative of find f^(-1) and then we will find equation of…

Q: X- e.

A:

Q: 7–46 Find the derivative of the function. 8. F(x) = (1 + x + x²)9

A:

Q: Find the derivatives of the following function f(x) from the first principles  (i)x3

A:

Q: 6. find all local extremum value in this function f(x)= xʻe* م م م م و و ه و و و و و و ه و و و و و و…

A:

Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

A:

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

A:

Q: 8. 4 2

A: In this question we will use basic of calculus i.e use of tangent function. We will write the…

Q: Let f(x)= e^x^2 . Find an equation of the line tangent to the graph of f at the point the (1,e).

A: Tangent to the graph,

Q: 6- For the function y=lnx a- Describe what type of function it is. b- How is the function related to…

A:

Q: Let f(x) = 9 – x² The slope of the tangent line to the graph of f(x) at the point (-3,0) is The…

A:

Q: 7.) 2Ct f(xJ= x /メ+4 メ+5

A:

Q: 1 4. Use the definition of the derivative to compute f'(x) given f(x) = 2x 3

A: Given,          The function is fx=12x-3 .

Q: Find the third derivative f"" for the function f(x) = I-5

A: The first derivative of is given as: Also the derivative of a function in form of is: The given…

Q: Differentiate the following function with respect to x for y=2e^3x + 8e^9-2x .

A: Given equation is y=2e3x+8e9-2x Differentiate with respect to x.  then,

Q: Let f(x) = 21 – x² The slope of the tangent line to the graph of f(x) || at the point (-4, 5) is The…

A:

Q: 11. Use the definition of the derivative to find f'(x) for the function f(x) = x2 + x + 2. Show your…

A: We have to find the derivative of the given function.

Q: Let f (2) = 2 22 +6 x + 5 . We will use the definition of derivative to find the deivative of f (æ)

A:

Q: 14) What is the domain of the function f(x) E, ?

A:

Q: What is the first derivative with respect to x of the function g(x)= 4/9 * О 4/9 O 4 O 12

A:

Q: C Suppose that the second derivative of a function f(x) is given by f"(x) = (x – 4)(x – 7)² In() %3D…

A:

Q: (6) _If f'(a)=0, then the tangent of the function f at x=a is a horizontal line.

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 3. Use the graph of y = f (x) shown to sketch the graph of its derivative f'(x). [if on your own…

A: Give function f(x) has graph If you see this graph you will observe that derivative of f(x) will be…

Q: 19. Find the absolute extrema of the function on the indicated interval. f (x) = xe-3x;[-1,2] хе

A: As a first step, we need to find all the critical points by equating the derivative of f(x) to zero.…

Q: I. Differentiate the given functions: (simplify your final answer) 1. f(x) = 2e* – 6* -

A: Given That: The function, f(x)=2ex-6x

Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.