Answer to: Find and simplify the difference quotient (f(x + h) - f(x))/h for the following function : 8/(2-x). By signing up, you'll get thousands... This is an introductory lesson in Calculus. By taking the limit as h tends to 0 Alan has found the differential of f (a). That is f ' (a) f (a)=a 2 +8. f' (a)=2a. The differential is an equation that gives the value of the gradient of the tangent to the curve for any fixed a value. It is really neat!

see explanation If I understand the question correctly, you have to start by substituting (x+h) wherever you see x in your original function definition: (x+h)^2 - 5(x+h) + 7 multiplying out, you have: x^2+ 2xh + h^2 - 5(x+h) + 7 = x^2 + 2xh + h^2 - 5x - 5h + 7 So, substitute this as the value of f(x+h) in the definition of the difference quotient. Question is here: I need help with part c. I tried plugging everything in and simplifying to a point where my final answer was $(-8h+2ah+2h^2)/h$ My work: $(7-8a-8h+2(a+h)^2-7+8a-2a^2)/h$ co...

keywords: and,quotient,function,simplify,for,Find,it,the,difference,Find the difference quotient for the function f(x) = -8x+3, and simplify it. You can put this solution on YOUR website! for f(x)=7x-3 To find f(x+h) substitute x = x + h into the function. I hope that helps! Stay safe! Find f (a), f (a + h), and the difference quotient f (a + h) − f (a) h , where h ≠ 0. f (x) = 8 − 5x f (a)= f (a + h)= f (a + h) − f (a) h =. I need help plugging the right information in. Thanks. Follow • 2. Add comment. More. Answer to: Find and simplify the difference quotient (f(x + h) - f(x))/h for the following function : 8/(2-x). By signing up, you'll get thousands... The Difference Quotient 2 - Cool Math has free online cool math lessons, cool math games and fun math activities. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. (This is the most common way of writing the difference quotient. You may run across other, equivalent ways.) Okay, let’s lay out this process wherein. morphs into the difference quotient. First, the run, x 2 – x 1 (in this example, x 2 – 2), is called h. Next, because x 1 = 2 and the run equals h, x 2 equals 2 + h. You then write y 1 as f ... For a function f (x), the difference quotient would be f(x+h) - f(x) / h, where h is the point difference and f(x+h) - f(x) is the function difference. The difference quotient formula helps to determine the slope for the curved lines. The f(x+h) - f(x) / h calculator can be used to find the slope value, when working with curved lines. The slope is important in calculus where it defines the derivative of a function. Assume that A and B are the two points on the graph function f(x), then the formula to calculate the slope of the secant line “m” is calculated by: m= [f(x+h)-f(x)]/h This method is also known as Newton’s Quotient or Fermat’s difference quotient. In the most basic sense, setting up the difference quotient just involves subbing in the proper terms into the formula f (a + h) − f (a) h \frac{f(a+h)-f(a)}{h} h f (a + h) − f (a) . However, to make the process easier, it is best to take a good look at the given equation to make sure it is in the simplest form possible. The slope is important in calculus where it defines the derivative of a function. Assume that A and B are the two points on the graph function f(x), then the formula to calculate the slope of the secant line “m” is calculated by: m= [f(x+h)-f(x)]/h This method is also known as Newton’s Quotient or Fermat’s difference quotient. In the most basic sense, setting up the difference quotient just involves subbing in the proper terms into the formula f (a + h) − f (a) h \frac{f(a+h)-f(a)}{h} h f (a + h) − f (a) . However, to make the process easier, it is best to take a good look at the given equation to make sure it is in the simplest form possible. Feb 16, 2015 · Find f(x) and a. f(x) = x^2, a = 3 Stuck Here!!!! Now find a different pair of f(x) and a with same difference quotient. I don't know how to find another pair Find the Difference Quotient f(x)=2x^2-x. Consider the difference quotient formula. Find the components of the definition. Tap for more steps... Evaluate the function ... Solution for f(x +h) – f(x) Find the difference quotient of f; that is, find 2,h+ 0, for the following function. Be sure to simplify. f(x) = 2x² +x + 2 f(x +h)… This is an introductory lesson in Calculus. By taking the limit as h tends to 0 Alan has found the differential of f (a). That is f ' (a) f (a)=a 2 +8. f' (a)=2a. The differential is an equation that gives the value of the gradient of the tangent to the curve for any fixed a value. It is really neat! The Difference Quotient This video gives the formula for the difference quotient and do another example of finding it for a quadratic function. Example: Let f(x) = 2x 2 - x + 5; find and simplify the difference quotient (f(x+h) - f(x))/h. Show Step-by-step Solutions Solution for f(x +h) – f(x) Find the difference quotient of f; that is, find 2,h+ 0, for the following function. Be sure to simplify. f(x) = 2x² +x + 2 f(x +h)… Feb 16, 2015 · Find f(x) and a. f(x) = x^2, a = 3 Stuck Here!!!! Now find a different pair of f(x) and a with same difference quotient. I don't know how to find another pair Feb 08, 2020 · -6 / ((a + h + 3) * (a + 3)) I find it highly doubtful that you were able to figure out the final portion without figuring out the first portions. That's like saying you baked a cake but there's no flour, eggs, or butter to be found. keywords: and,quotient,function,simplify,for,Find,it,the,difference,Find the difference quotient for the function f(x) = -8x+3, and simplify it.