Compute the difference quotient f (x+h)−f (x)h for the function given below.f (x)=x+2x−3Give a simplified expression involving x and h, if necessary. For example, if you found that the …

Given the function f(x) = -x^2 + 5, we can find the difference quotient as follows: First, calculate f(x+h): = -(x^2 + 2xh + h^2) + 5. = -x^2 - 2xh - h^2 + 5. Then, subtract f(x) from f(x+h): = -2xh - …

Let's calculate the difference quotient for your function. First, we need to substitute f(x+h) and f(x) into the formula. For f(x+h), we replace every x in the function with (x+h). For f(x), we just use …

f (x+h)-f (x)/h is usually referred to as the "definition of the derivative" (don't forget lim h->0). In most cases if your teacher or professor will require you to use the definition of the derivative to …

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2016年8月2日 · df/dx (aka f' (x) aka dy/dx) is the derivative. I prefer to use f' (x) in most cases. If h is non-zero, then f (x + h) - f (x) / h makes sense. But if h is zero, we are dividing by zero, …

2023年7月30日 · Did you mean to find the lim of f (x) as h approaches 0? If that’s the case, then we have: = ( (x + h) 2 - 3 (x + h) - x 2 + 3x)/h. Then you simplify the numerator and then you’ll …

For the function f(x) = -3x + 5, we can calculate the difference quotient as follows: Substitute x+h into the function: = -3x - 3h + 5. Subtract f(x) from f(x+h): = -3h. Finally, divide the result by h: …

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