(a), f(a + h), and the difference quoti 1 f (x) = - f (a) = %3D f (a + h) =

Q: Given the marginal revenue function MR: -x3 + 2x2 + 4x – 1. Find the revenue function.

A: Given, marginal revenue function:                                MR=-x3+2x2+4x-1

Q: The derivative in question, solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 Determine the largest and…

A:

Q: Find the indicated derivative. 5x2 f'(x) for f(x) = %3D 9x - 4 f'(x) =|

A: We are solving the problem by The by parts rule of derivative.

Q: If f(x) = 2x and g(x) = 3x4 - 1. Find the derivative of the product (f×g)(x). 30x 30x4-2 30x³ - 2…

A:

Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

A:

Q: The derivative of f(x) =3 4 is %3D

A: Consider the given function, fx=4x5 The property of derivative is defined as, ddxxn=nxn-1 Convert…

Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

A:

Q: Find the instantaneous rate of change of the function at the given value f(x)=6x2-4x+3; x=2

A:

Q: The function f has a continuous second derivative, and it satisfies f(-8) = 5,f'(-8) = 0 and f"(-8)…

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Q: Find the derivative of f(x) = e* (3x' - 4) %3D

A:

Q: Find the derivative of the function. f(x) = In(6x2 - 5x + 4) %3D

A:

Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x…

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer…

Q: Find the second derivative of the function.

A: Given function is  fx=4x32 The derivative used here is  dxndx=nxn-1 The derivative of the first…

Q: The derivative of the function f(x) = 4x-1 is

A:

Q: x4 -5 7) f(x) = In %3D

A: fx=lnx4-5x first, simplify the function  f(x)=lnx4x-5x f(x)=lnx3-5x now take derivative

Q: Find the derivative of z² + 5 (à). f(x) 12-5

A:

Q: solve the derivative f(x) = e^3x / 1-x^3

A:

Q: Find the first, second, and third derivatives of f(x) = x^4 − 2x^3 + 2x^2 − x + 8.

A:

Q: The derivative of f(x) = In(5x³ – 12) Is

A:

Q: Find the derivative of f (x) = (x + 4)5 A) f'(x) = 5x (x* +4)* B) f'(x) = 6x (x+ 4)* C) f'(x) = 30x…

A:

Q: The derivative of x- 1 is -2 1 + A -2 1 B -2 1 C -2 +1+ D -2 1 + E

A: Let's find.

Q: Find the derivative of the function. g(x)=4x(3x+2)^5

A: Given:  g(x)=4x(3x+2)^5

Q: What is the third derivative of the function: f(x) = x5 - 4x³ + 3x?? O 5x – 12x² + 6x O 20x? 24x + 6…

A:

Q: . Y= In (- (x-2)2

A: To solve the second derivative of the function

Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

A:

Q: Given: f(x)=-x^2-4x-3 What is the derivative of f(x) at a=-4?

A:

Q: Find the derivative of f(x) = 7xª + 5x² + 2.

A:

Q: Find the local minimum and local maximum values of the function g(x) = 6x2− 4x3 using both the First…

A:

Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2

Q: 3. x² + 5x + C .2

A: Derivative of xn is ddxxn=nxn-1.

Q: (B) Use the first derivative test to find the maxima and minima for f(x) = 3. 5z2 + 6x +9. 2.

A:

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

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Q: Find the second derivative of the function. In(x) f(x) = + 6x? -4x° – 18xln(x) + 3-6 ln(x) + 12…

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Q: What is the second derivative of In(x4– 1)? - 16x9+ 12x6– 12x² (A) (x4– 1) 2 4x3 In (B) - 4x6– 12x2…

A:

Q: Find the derivative of the function. p(x) = - 12x 2. +4x %3D p'(x) = 2/3

A: We have to find derivative

Q: the derivative of the function g(x) In(lx2 +21)

A: We have to find the derivative of g(x)=ln(|x2+2|)

Q: The derivative of 4.x5 is f(x) f(x) = Зх-2

A:

Q: The derivative of a function is g'(x) = 19 – 6x² and the graph of g(x) passes through the point P(3,…

A: To find  g(x)

Q: Find the derivative of f (x) = ( a ° – 5æ) (2² + 6x - 6).

A:

Q: #12) Find the derivative of the function f(x) = 35x2-1

A: The solution of the problem is given in the next step.

Q: f(x) = 3x4 − 3x3 f '''(x) =

A: To find third derivative, we starts from first derivative, second derivative and finally we reach…

Q: Find the second derivative of the function. h(x) = 6x−2 + 7x2

A: Given function is hx=6x-2+7x2   Differentiate the function with respect to x.…

Q: x3 – 3x2 + 5 f (x) = x3 + 1

A: We have to find derivative

Q: What is the derivative of f( x = zi; = x 3 ? Or(-) = 3 F(=) f'( x Of(2) = 3= F(=) OF(2) = }ei OF(-)…

A: To find the derivative of f(x)=x2/3

Q: Find the first and second derivatives of the given function. f(x) = 5x3 − 6x2 + 6

A: The given function is f(x) = 5x3 − 6x2 + 6. The derivative of xn is given by: ddxxn=nxn-1 and…

Q: What is the derivative of f(x)= e2x/ (3x+1)2

A: Given Function,fx = e2x3x+12

Q: .4 In(12x + x), the derivative Given g(x) = g (x) is 12x4 + x 48x3 + 1 48x +1 12x4 + x 4x3 48x³ + 1

A: Given,  gx = ln12x4+x  We have to find the derivative g'x .

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: f'x=-2x8-x2    passes through the point2,2x,y=2,2Indefinite integral:∫f'x dx=Fx+C

Q: Find the derivative of the function. g (x) = 4x(3x + 2)’ %3D

A: The given function is gx=4x3x+25

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.