what is the formula for calculating the instantaneous rate of change for f(x)=e^x where x=2

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# what is the formula for calculating the instantaneous rate of change for f(x)=e^x where x=2

I need to find the instantaneous rate of change for f(x) = e^x, x=2

## Research, Knowledge and Information :

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### Finding the instantaneous rate of change of the function \$f(x ...

Finding the instantaneous rate of change of the function \$f(x)=-x^2+4x\$ at \$x=5\$, I know the formula for instantaneous ... The instantaneous rate of change, i.e. the ...

### Instantaneous Rate of Change Formula | [email protected]

The Instantaneous Rate of Change Formula provided with limit exists is, ... So, the instantaneous rate of change at x = 2 f'(2) = 15(2) 2 - 8(2) + 2 = 60 - 16 + 2 = 46 .

### what is the formula for calculating the instantaneous rate of ...

I need to find the instantaneous rate of change for f(x) = e^x, x=2

### Average and Instantaneous Rates of Change - UUMath - Home

9.3 Average and Instantaneous Rates of Change: ... this instantaneous rate of change of a function f is ... of x, say by evaluating the derivative formula ...

### Instantaneous Rate of Change - Virginia Tech

A logical extrapolation would indicate that the instantaneous rate of change in F(x) ... 2 dy x dx = is the general slope formula for any tangent line touching f (x) ...

### 5.1 Average and instantaneous rate of change

the instantaneous rate at x = 3. In fact that’s more or less how the general theory goes. Formally, the instantaneous rate of change of f(x) ...

### Finding Instantaneous Rate of Change of a Function: Formula ...

In this lesson, you will learn about the instantaneous rate of change of a function, or derivative, and how to find one using the concept of limits...

### Calculus Online Book

Free online Calculus e-book focusing on understanding ... we can define the instantaneous rate of change of a function ... from x = 0 to x = 2 the change in f ...

### Instantaneous Rate of Change - [email protected]

It should be noted that the instantaneous rate of change of \$y = f(x) ... The formula for instantaneous rate of change is ... Calculating Instantaneous Rate of Change.

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### what is the formula for calculating the instantaneous rate of change for f(x)=e^x where x=2

d/dx av e^x=e^x...1 av the basik propertees av e e^x at x=2=e^2 or about 7.389046

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### For the function f(x)=x^2-4x:

a. The rate of change is given by f'(x)=2x-4. The average rate of change if (f'(4)+f'(1))/2=(4-2)/2=1. 2x-4 is a linear function, and if we take integer values of x and average them we get: (-2+0+2+4)/4=1. If we increment x by 0.5 steps we get: (-2-1+0+1+2+3+4)/7=1, and so on. b. Instantaneous ch

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### area of a square with side length x is x2. Instantaneous rate of change in area if x is 5

area of a square with side length x is x^2. Instantaneous rate of change in area if x is 5 We can write the area A as, A = x^2 where the area, A, is a function of x. The rate of chabge of A is dA/dx, where dA/dx = 2x When x = 5, then dA/dx = 2*5 = 10 Answer: Rate of change of a

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### A =(p+i)^n make i the subject of the fomular?? find i if A = 2 200 P=200 and n =5

A=(p+i)^n; p+i=A^(1/n) [A^(1/n) is the same as the nth root of A]; i=A^(1/n)-p. A=2,200, p=200, n=5: i=2200^0.2-200=-195.34 approx. As a percentage i is-19,534%. [IMPORTANT NOTE: This problem looks like a variation on the formula for calculating compound interest which is contained in two f

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### How much would density be of each planet have to change to have same volume as Earth?

The general form for density D=M/V. Applying this formula to the Earth, DE=ME/VE. So, if V is the volume of a planet, V/VE is the proportion of its volume in relation to Earth. If the planet is bigger than Earth, then V/VE>1 and compressing its mass into the same volume as the Earth would increas

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### why is the rate of fall 32 feet per second squared instead of 16 feet per second squared since 16 feet is how far it fell in the first second ?

Objects fall under gravity at an accelerating rate of 32 feet per second per second. That means the speed is changing at the rate of (32 ft/sec) per second. An object which is simply dropped (not thrown) will pick up speed so that after the first second it will be travelling at 32 feet per second. A

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### Find the instantaneous rate of change of the curve f(x)=(x)/(2-3x) at x=2 using first principles

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### What do I need to convert for this problem and how?

You need to convert time and speed into distance. Distance=(speed)*(time). Man1 starts at 1 pm and by 4 pm he has walked for 3 hours, and his distance is 3*3=9 miles. Man2 starts at 2 pm and by 4pm he has walked for 2 hours, and his distance is 2*4=8 miles. So we have a triangle and the included ang

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### Find the average rate of change of y with respect to x in the interval from x=2 to x=3

The question doesn't give y in terms of x so this answer is general. Calculate dy/dx and call the result g(x). The average rate of change is (g(2)+g(3))/2.

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