The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)=1.8208e0.3387xf(x)=1.8208e0.3387x, where x = 0 corresponds to 1998.  In what year did/will the exports reach $10.3 billion?

Q: Find the higher order derivative  f'(x)=7x2-9x2+4x f'''(x)=

A: We will use the following : ddxxn = nxn-1 ddxc = 0 where c is constant.

Q: Find the second derivative of the function.      f(x) = (x2 + 3x)/(x − 4)

A: Given f (x)  = x2+3xx-4we have to find second derivativerule used :-Outient rule :- if there is a…

Q: Find the second derivative of the function.        f(x) = 4x5 − 2x3 + 5x2

A:

Q: Find the second derivative of the function. Fx) = x In VR) + 9x f"(x) -

A: Answer and explanation is given below...

Q: obtain the second derivative of the function: y=2-5x^4+3/2x^2

A: Please refer the attached image for complete solution.

Q: Find the second derivative of the function. f(x) = (3x5 + 6)6

A: topic - double derivative

Q: What is the derivative of y = 3x²tan-1(x)?

A: ddxxn=n xn-1ddxtan-1x=11+x2 One have to use product rule here, which is ddx(uv)=vddxu+uddxv

Q: What is the derivative of 2.x + 3 f (x) = 2x2 + 7x + 6

A:

Q: Find the second derivative. -5x f(x) = (5 + 4x)e" f"(x) =

A:

Q: What is the derivative of F(x) = -4e2x ?

A:

Q: Find the second derivative of f(x) = 2x+1/x-4

A: Here, we need to find the second derivative of f(x)=2x+1x-4. So,           f''(x)=2x+1x-4''…

Q: 5 Find the derivative of f (x) = (9x4 -

A: Consider the given: fx=9x4−7x5Find the derivative:f'x=ddx9x4−7x5

Q: Find the third derivative of f(x)=12x0 –3x² +4x°+5x²+6

A: Given

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A:

Q: Find the third derivative of the function f(x)=2x5-7x4+4x2-8x+11.

A: on doing diffrentiation with respect to x we will get

Q: зах (х+2)/x2+4x+3

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the derivative of h(x) = x 2(9x + 2).

A:

Q: Find the derivative of the function.

A: the given function is: hx=ln2x2+1 we have to find the derivative of the given function.

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

A:

Q: If the total revenue function for a blender is R(x) = 41x – 0.01x² where x is the number of units…

A: Given that, the revenue R (in dollars) for a blender is given by  R(x) = 41x - 0.01x2 where x is the…

Q: what is the second derivative of  f(x) = 3(3x^3+2x^2)^10

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Q: Find the third derivative of the function f(x) = (1) / (2x-1)

A:

Q: Find the second derivative of the function. f(x) = e-x3/3

A: Given:fx=e-x33Differentiation formula:ddxex=ex.1

Q: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

Q: Find the derivative of f (x) = e(x3 − 10x2 + 8 ) .

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the first derivative of: y= x5 3√9-3x2

A: y=x5 9-3x23⇒y=x59-3x213

Q: f(x) e3x+1 lnx³

A: Here we have two functions in the right hand side. That is f(x) is the product of two functions. So…

Q: Find the second derivative of the function. f(x) = 8x + 50x-2 f "(x) = %3D

A:

Q: Estimate the instantaneous rate of change of f(x) = -3x + 2 at x = -2.

A: The instantaneous rate of change of a function f(x) is the first derivative of a given function and…

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: Find the second derivative of f (x) = 3e5x− 8e-6x

A: Given ,  f (x) = 3e5x-8e-6x we have to find the second derivative of the given function.

Q: Find the second derivative of f(x)=x4.

A:

Q: If the total revenue function for a blender is R(x) = 28x – 0.01x² where x is the number of units…

A: To find The average rate of change of revenue R(x) as x increases from 10 to 20 units.

Q: Find the derivative of f (x) = (x – 4) / 10x³ + 1. -

A:

Q: If the total revenue function for a blender is R(x) = 52x − 0.01x2 where x is the number of units…

A: We have the total revenue function R(x) = 52x − 0.01x2.

Q: The total expenditures (in millions) of current dollars for pollution abatement and control during…

A: Here we find the total expenditure.

Q: Find the second derivative of the function. f(x) = (3x° + 6)*

A:

Q: Find the derivative of the function. f(x) =-4x2+x+ 6

A: Consider the function  f(x)=-4x2+x+6

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A: Topic = Derivative

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A:

Q: The derivative of f(x) = x4 + 4e2x is-

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Q: find the average rate of change of f(x) = -x3+3x2 from x=-1 to x=4

A:

Q: The first derivative of f(x)=e5x^4-6x will be?

A:

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

A: Given Function,fx = e2x3x+12

Q: Use the definition of the derivative to solve.

A: To determine the derivative of the function.

Q: The derivative of f(x) = x³e2x is

A: