Check the differentiability of the function flz)= (スー1)

Q: Differentiate the functions.

A:

Q: explain horizontal and vertical asym.

A: Given : We have to explain the horizontal and vertical asymptotes for the given graph.

Q: How to form a piecewise function by using linear function?

A: The piecewise function can be formed using linear functions as shown below.

Q: What are the Combining Functions?

A: Combining functions:           Combining functions are simply known as the arithmetic operations (…

Q: Let f (x) = 5x, g(x) = 2x² + 1, & h (x) = 6x +2, find (foh) (x). Show your work using the Equation…

A: Given: fx=5x, gx=2x2+1 & hx=6x+2

Q: Enter an eqvation_for the line of symmetry for the function flx)=4x²+[6X-9 %3D

A: The function is given by f(x) = 4x2+16x-9 To evaluate : Equation of the line of symmetry

Q: Differentiate the function. F(Y) : + 9y³) F'(y) =

A: Topic = Derivative

Q: Plot the x-intercepts of the function ƒ (z) = zª + 3z³ – 4z² – 12z.

A: Given,          The function is fx=x4+3x3-4x2-12x .

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

A:

Q: Explain how to approximate the change in a function ƒ when the independent variables change from (a,…

A: Concept:An independent variable is that one whose value does not dependent or vary on any other…

Q: What can you conclude about the inverses of functions whose graphs are lines parallel to the line y…

A:

Q: Differentiate the function.

A:

Q: WRITE OUT ALL FUNCTIONS F: { 1,2,3,4} -> {A,B} USING TO LINE NOTATIONS   PLEASE EXPLAIN HOW TO DO…

A: If C and D are two sets, a function from C to D is a rule that gives us unique b∈D for every a∈C.…

Q: functions f1(x) = ex+2, f2(x) = ex-3 linearly dependent or linearly independent on (−∞, ∞)? Explain.

A:

Q: Differentiate the function

A:

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

A: Using chain rule of derivative,

Q: What can you conclude about the inverses of functions whose graphs are lines perpendicular to the…

A: If a graph of a function is perpendicular to the line y=x, then the reflection of the line on y=x…

Q: Investigate when, historically, the use of the functionnotation y = f1x2 first appeared.

A: Query- Investigate when, historically, the use of the function notation y=fx first appeared. Answer-…

Q: Differentiate the function. f(x) − 186.5

A: Our Aim is to differentiate the function given below:-f(x)-186.5-(i)

Q: Write the length L of the rectangle as a function of y.

A: The length L is bounded by two graphs x=2  &  x=2y3

Q: Differentiate the function. y = 96-z2

A: To differentiate the function

Q: Explain how the vertical line test is used to detect functions.

A: Vertical line test: Draw a vertical line on the graph of the given equation. If the line passes…

Q: Interpret the Mean Value Theorem when it is applied to any linear function.

A: Interpret the Mean Value Theorem when it is applied to any linear function.

Q: If f(x) = 5x' +x²+ 4, then f(-2)- --

A: Given : fx = 5x3+x2+4

Q: Differentiate the function. y = square root x(x − 4)   y' =

A: Recall:    Product Rule of Differentiation:               Let u and v be the function of 'x' , then…

Q: The domain of the function f(æ) = v9-a is OR-{-81,81} OR-{-7,11} O R-{-9} OR O R- {9}

A:

Q: Differentiate with respect to the independent variable. 2 f(x) = 3x³ –

A:

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: Find the domain of the function. f(x) = 20x +3             x-7           (−∞, 7) ∪ (7, ∞)…

A: The first option is the correct option. Consider the function f (x) and the condition for the…

Q: Calculate % F-dr where

A: Given,           F=xyi+2zj-xykand C is the intersection of the of the plane y=z+2 withcylinder…

Q: Identify the function which has the following domain

A:

Q: Differentiate the function. fx) = (4 +x*)° - (1+x*) %3D f'(X) =

A: We have to find derivative

Q: Differentiate the function.   f(x)  =(x3 +2x) ex

A: Given:fx=x3+2xexFormula:ddxuv=uv'+vu'

Q: Differentiate the function y = (x³ +4) In (x³ + 4)

A:

Q: There does not exist an entire function whose value on the positive real axis is -ldt. :Select one…

A: We have to check whether the given statement is True or False

Q: Differentiate the function y = (x + 8) In (x +8). y' = %3D

A:

Q: Compute and simplify the difference quotient for f(x) = v4- x². %3D

A:

Q: Show that |x + y|≥||x|−|y||, solution without using piecewise function

A: Just I have used the triangle inequality of absolute function and easily prove that the given…

Q: Find the domain of the function. 4) f(x) = x2 + 3 A) (-«, -3) u (-3, ∞) C) (-3, «) 4) B) (-*, «) D)…

A: We will find out the required domain.

Q: for the Function Fc)-, find %3D

A:

Q: - 9α+4 f (æ) 5x2-8

A: To differentiatef(x)=-9x+45x2-8

Q: 3lim %3D f(x+h)-f(x) to find f'(x) for f(x) = -4x2+2x+3. = (),f

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: 2(メy)=16-x-, R: %3D and y=4X- 2

A:

Q: Differentiate the followin f(x) = (2x2 - 3x)* 4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: what is f(-2)?

A: Given,

Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

A:

Q: let f(x)=√(2+2x)  f′(4)= ?

A: The function is

Q: Find the inverse of the function on the given domain f(x) = 3x2 + 5, (-∞, 0)

A:

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.