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: 2+ 3x)(5 –

A: f(x)=(2+3x)(5-2x)ddx(u.v)=u.ddx(v)+v.ddx(u)ddx(x)=1ddx(5)=0

Q: Find the derivative of f(x)) at x = 3 if f(3) = 2, g(3) = = 5, f'(3) = 7, and g'(3) = 4.

A:

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)=2ln(6+x) f'(x)= f'(3)=

A: Here, f(x)=2 ln (6+x)

Q: If f(x) = √ 8x + 3, compute the first, second, and third derivative of f(x). f'(x) = f"(x) = = f"(x)…

A:

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) if f(3) = 0 and the tangent line at (x, f(x)) has slope- x2 + 5 f(x) =

A: Given that

Q: Find the equation of the tangent line to the curve f(x) = - -x4 at x = 1. O T(x) = 1 + (-4)(x - 1) O…

A:

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 of ƒ (x) = (5) x-1 ƒ′ (x) = 3 ln(5) (5ª) (x − 1) + 3 (5ª) (-²) (x − 1)¯ (1

A:

Q: Find f'(x) and f'(c).

A:

Q: 5x+2x+3 f(x) = √x

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

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: If f(x) = -4x³ - 5x² − 3x + 7, compute the first, second, and third derivative of f(x) - f'(x) =…

A:

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: Find the derivative of the function and evaluate the derivative at the given x-value. f(x) = 5x+9 at…

A: Given: fx=5x+9; x=2 For finding derivative of given function, we differentiate given function with…

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