if fi(x) = xand f,(x,) = xf(x»x2) = Is this function independent true false

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: Find the derivative of the function by the limit process. f(x) = x2 - 2 %3D f'(x) = 2x %3D Need…

A: Apply Limit rule

Q: (-х+а, х < —1 If f(x) = {x² + 5, –1 < x < 2 is continuous then х — b, х 2 2 a + b =?

A:

Q: Compute the derivative. f(x) = (cos2 x)cosx

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Q: -x²+5 < f (x) < x+1 2

A:

Q: Show that f(z) = 3z2 + 2z + 5 is analytic function.

A:

Q: Let f(x)=," 1 Use the definition (first principle) to determine the 1-x derivative of ƒ(x).

A:

Q: 7) f(x) = 3e In x %3D

A:

Q: If - 2x +1 ,when X#! and fcx)= 3 when x= 1 show that The function fex) Continuous at X - 1

A: The detailed solution is as follows below:

Q: 3. Is the function given by x²-4x-5 -,x< 5 f(x) =. x-5 x+1, x 2 5 continuous atx=5? Why or why not?

A:

Q: Give an example of a function that is continuous but differentiable at x=2

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Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

A:

Q: #! Find f'cx) if fex)= Čx²+SX+2)(X-)

A:

Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: How do I show that F(x) are antidervatives of f(x)?

A:

Q: compute the derivative.  f (x) = (cos2 x)cos x

A: To compute the derivative.  f (x) = (cos2 x)cos x

Q: Give an example of a function that is continuous on -∞ < x < o but is not differentiable at x = 3.

A:

Q: If the function is defined y=2x when x=3, is this function differentiable at x=3? Also, is this…

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Q: 7 Let f(x) x – 9 * Then according to the definition of derivative

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Q: If f(x) = - x² + 3x, which of the following will calculate the derivative of f(x) (- 2(x + h) + 3) -…

A: We can find the derivative of the given function using the definition of of the derivative given…

Q: Find the derivative by the limit process. f(x) = 14-x²

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Q: X = (1-_-_-_-)* 2 o then f(x) tend:

A:

Q: If the derivative of f is f'(x) = (x – 1)(x + 2), then f is decreasing on (-2, 1) Select one: True…

A:

Q: Let f(x) = Cx + 7x if x< 4 x³ - cx if x2 4. For what value of the constant c is the function f…

A:

Q: Find the derivative of the function by the limit process. f(x) = 5x − 4

A: fx=5x-4

Q: Determine the derivative of the following functions using chain rule. 3 * 1. f (x) = (2x² – 2x + 1)…

A: 1.f(x)=(2x2-2x+1)3 2. f(x)=5x3-8x2+9x-6

Q: If f(z) is analytic function show that:

A:

Q: Prove that constant function is differentiable at ever x ER.

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

Q: 2 Find the derivative of f(x) =x² – 6 from limit definition. - Show all steps of working. f(x) :…

A:

Q: Find the derivative of the function by the limit process. f(x) = 7x − 3

A: GIven function: f(x) = 7x − 3 Formula used:

Q: adient of f in diro

A: Given function is: f(x,y,z) = xy + yz2 + xz3.

Q: 2) Use the definition of the derivative, f'(x) = lim Ax-0 derivative of f(x) = 5x² + 3. f(x+Ax)-f(x)…

A:

Q: 6. Use the definition of derivative to find f'(x) if f(x) 3D х2 — Зх — 4

A:

Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: Give an example of a function that is defined for all real numbers, is continuous everywhere, but…

A:

Q: Find the derivative of the function by the limit process. 7 f(x): x - 9

A: Given,          The function is fx=7x-9.

Q: Compute f'(3) using the limit definition of derivative if f

A: Given: f(x)=6x2f'(3)

Q: Find the derivative of the function by the limit process. f(x) = 7x – 6 %3D

A: The derivative is calculated using the limit process as follows. f'x=limh→0fx+h-fxh Now, fx+h=7x+h-6

Q: 3. ƒ : R+ → R, such that f(x) = √2x+2. (Hint: Apply the chain rule.)

A:

Q: 3. Use the limit definition of a derivative to find f'(x) if f(x) = 3x2 - 5x %3D

A: f(x)=3x2-5x

Q: Find the derivative by the limit process. f(x) = 13 – x2

A: Given that: f(x)=13-x2

Q: 4) Use the Limit Definition of a derivative to find f '(3) if f(x): %3D 5-x

A: Given:- f(x) =2/(5-x)  To find:- Use limit Definition of a derivative to find f'(3)

Q: Find all relative extrema of the function f(x) = x² - 4x² + 2 by using the Second Derivative Test…

A:

Q: 3) Use the limit definition of the derivative to find f' (x) if f(x) = - %3D

A:

Q: How should the function f(x)=x²-25/x+5 be defined at -5 to make it continuous at -5?

A:

Q: For what value of the constant c is the function f continuous on (-∞, 00) ? if x < 3 cx2 + 8x F(x) =…

A: To find: The value of c if function is continuous at -∞,∞. Given: The function is fx=cx2+8x   if…

Q: prove two Function invezse each other fk)= (x-2)

A:

Q: 2. Is the function given by F(x) = x². 5x + 6 continuous over the interval (-5, 5)? Why or why not?

A:

Q: 1 Use the limit definition of the derivative to find f'(x) if f (x)= 10x

A:

Q: Show that f(z) = 3z² + 2z+5 is analytic function.

A: Given