Suppose that the average cost function is given by C(x) = c'(x)= xC'(x) - C(x) x² OA. f'(x)= In order to find the derivative of an equation of the form f(x) = u(x) v(x) u(x) v'(x)-v(x) u'(x) [v'(x)]² v(x) •u'(x) - u(x) • v'(x) [V'(x)]² OB. f'(x)=- v(x) u'(x) - u(x) • v'(x) [v(x)]² Let u(x) = C(x) and let v(x)=x. Find the derivative of u(x). OC. f'(x)=- 1 O A. u'(x) = C'(x) X O B. u'(x) = C(x). C'(x) O c. u'(x) = C'(x) Now find the derivative of v(x). where x is the number of items produced. Show that the marginal average cost function is given by the following. use the quotient rule. What is the quotient rule? Snipping Tool New Delay ▾ X Cancel Select the snip mode using the Mode button or click the New button. Mode Snipping Tool is moving... Op

Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

Q: Let f(1) = 6, f'(1) = 7, g(1) = 4, g'(1) = 5, f(6) = 2, and f'(6) = 5. Calculate the following…

A: Use the chain rule of derivative and put x=1 than simplify using only those values which requires.

Q: If f(x) = f'(x) = ƒ' (3) = 6x + 7 2x+6' find:

A:

Q: if f(x)=2ln(6+x) f'(x)= f'(3)=

A: Here, f(x)=2 ln (6+x)

Q: If f(x) = x + VT, find f' (1)

A:

Q: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

Q: If f(x) = 3x³ - 6e*, find: f'(x) = ƒ' (3) = ƒ''(x) = = f''(3) =

A: Given, f(x)=3x3-6ex

Q: Consider the function. f(x) = x R(x) + Q(x) Identify the derivative f'(x). f'(x) = xR'(x) + R(x) +…

A:

Q: Find f'(x), f''(x), and flo (x) for the following function. f(x) = 2ex f'(x) = f"(x) =O %3D A3) (x)…

A: The given function is f(x)=2ex

Q: Find (f/g)'(1) if f (1) = f'(1) = g(1) = 2 and g'(1) = 4.

A: we have been given f (1) = f'(1) = g(1) = 2 and g'(1) = 4.

Q: (3) The derivative of y = In √√x is (A) y' = √³ 2 (B) y' == / 1 (C) y' = 2√/x (D) y' = = 1/2 2x (E)…

A: As we know that, The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And use the common…

Q: if f(2) = 1, f'(2) = 3, g(2) = 3, and g'(2) = -1, then the derivative of f(x).g(x) evaluated at x =…

A: Given: f(2) = 1, f'(2) = 3, g(2) = 3, and g'(2) = -1

Q: Find h' (1) for the function h(x) = f(x)f(x). h'(1) = f(1) = 5 and f'(1) = 1.

A:

Q: Find f'(x) and f'(c). Function f(x) = (x³ + 4x)(7x² + 5x − 6) f'(x) = - f'(c) = = Value of c 0 = 5

A:

Q: Find h' (2) if h(x) = 1n(x + √(x2 - 1)) h'(2) =

A: Given hx=lnx+x2-1

Q: find the derivative:  c(x)=(x2)500x (the choices are in the image bellow)

A: This question is based on Chain rule differentiation. d/dx {f(x).g(x)} = g(x).d/dx{f(x)} +…

Q: 5x+2x+3 f(x) = √x

A: f(x)=5x2+2x+3x

Q: Let g(x) = 6x³ + 7x7 +2r Determine the derivative of g. 70)- Determine the slope of g at = 1. g'(1)…

A:

Q: Let f(x) = √3x² + 2x + 7 ƒ'(x) = f'(1) =

A:

Q: Find a function ƒ(x) such that ƒ'(x) = −8x² + 1 and ƒ(0) = 1 ƒ(x) = |

A: f'(x)=-8x2+1f(0)=1∫xndx=xn+1n+1+c

Q: Evaluate the derivative of y = (x 2+ 2x + 1)2usingd/dx (ƒ(g(x)) = ƒ′(g(x)) # g′(x)

A: We have to evaluate the derivative ofy = (x2+ 2x + 1)2usingddx(f(g(x))=f'(g(x))*g'(x)

Q: Find 1 h'(1) if h(x) = g(f(x)), g(x h'(1) = = x + 1 X-1 and f(x) = In(x).

A:

Q: If f(x) = 7x° – 3e", find: f'(x) = %3D f'(5) = f''(x) = %3D f''(5) =

A:

Q: If f(x) = 7x² f'(2) = f''(x) = f''(2) = 8e, find:

A: The given function is fx=7x2-8ex

Q: If f(x) = 5x² In(6x), then f'(x) = f''(x) = f'''(x) f(4) (x) = f (5) (x)

A: We have to find derivative of give function.

Q: Let f(x) = ƒ' (5) = f" (5) = f"" (5) = 1-4x 1+4x Compute the following.

A:

Q: Find the marginal profit function if cost and revenue are given by C(x)= 244 +0.2x and R(x)=…

A:

Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: Suppose f'(2)=6 and g'(2) = 9. Find h' (2) where h(x) = 4f(x) + 3g(x) + 6. h'(2)=

A: Topic = Derivative